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Finding the Fourth Proportional to 9,142.60, 13,713.90 and 2,217.10

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Solution

The fourth proportional to 9,142.60, 13,713.90 and 2,217.10 is: 3,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.60 : 13,713.90 = 2,217.10 : x
  2. Step 2: Convert to fraction form
    9,142.60/13,713.90 = 2,217.10/x
  3. Step 3: Cross multiply
    9,142.60x = 13,713.90 × 2,217.10
  4. Step 4: Simplify right side
    9,142.60x = 30,405,008.04
  5. Step 5: Solve for x
    x = 30,405,008.04/9,142.60
  6. Step 6: Final answer
    x = 3,325.64

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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.