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Finding the Fourth Proportional to 10,051.60, 15,053.10 and 9,614.20

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Solution

The fourth proportional to 10,051.60, 15,053.10 and 9,614.20 is: 14,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.60 : 15,053.10 = 9,614.20 : x
  2. Step 2: Convert to fraction form
    10,051.60/15,053.10 = 9,614.20/x
  3. Step 3: Cross multiply
    10,051.60x = 15,053.10 × 9,614.20
  4. Step 4: Simplify right side
    10,051.60x = 144,723,514.02
  5. Step 5: Solve for x
    x = 144,723,514.02/10,051.60
  6. Step 6: Final answer
    x = 14,398.06

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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.