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Finding the Fourth Proportional to 10,287.60, 15,431.40 and 9,164.40

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Solution

The fourth proportional to 10,287.60, 15,431.40 and 9,164.40 is: 13,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.60 : 15,431.40 = 9,164.40 : x
  2. Step 2: Convert to fraction form
    10,287.60/15,431.40 = 9,164.40/x
  3. Step 3: Cross multiply
    10,287.60x = 15,431.40 × 9,164.40
  4. Step 4: Simplify right side
    10,287.60x = 141,419,522.16
  5. Step 5: Solve for x
    x = 141,419,522.16/10,287.60
  6. Step 6: Final answer
    x = 13,746.60

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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.