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Finding the Fourth Proportional to 9,652.90, 13,322.73 and 5,674.18

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Solution

The fourth proportional to 9,652.90, 13,322.73 and 5,674.18 is: 7,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.90 : 13,322.73 = 5,674.18 : x
  2. Step 2: Convert to fraction form
    9,652.90/13,322.73 = 5,674.18/x
  3. Step 3: Cross multiply
    9,652.90x = 13,322.73 × 5,674.18
  4. Step 4: Simplify right side
    9,652.90x = 75,595,568.11
  5. Step 5: Solve for x
    x = 75,595,568.11/9,652.90
  6. Step 6: Final answer
    x = 7,831.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.