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Finding the Fourth Proportional to 10,609.60, 15,914.40 and 9,637.60

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Solution

The fourth proportional to 10,609.60, 15,914.40 and 9,637.60 is: 14,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.60 : 15,914.40 = 9,637.60 : x
  2. Step 2: Convert to fraction form
    10,609.60/15,914.40 = 9,637.60/x
  3. Step 3: Cross multiply
    10,609.60x = 15,914.40 × 9,637.60
  4. Step 4: Simplify right side
    10,609.60x = 153,376,621.44
  5. Step 5: Solve for x
    x = 153,376,621.44/10,609.60
  6. Step 6: Final answer
    x = 14,456.40

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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.