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Finding the Fourth Proportional to 9,142.07, 13,713.10 and 2,568.11

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Solution

The fourth proportional to 9,142.07, 13,713.10 and 2,568.11 is: 3,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.07 : 13,713.10 = 2,568.11 : x
  2. Step 2: Convert to fraction form
    9,142.07/13,713.10 = 2,568.11/x
  3. Step 3: Cross multiply
    9,142.07x = 13,713.10 × 2,568.11
  4. Step 4: Simplify right side
    9,142.07x = 35,216,674.26
  5. Step 5: Solve for x
    x = 35,216,674.26/9,142.07
  6. Step 6: Final answer
    x = 3,852.16

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Half scale
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Double scale
Find fourth proportional to 9,143.07, 13,714.60 and 2,569.11
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.