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Finding the Fourth Proportional to 15,140.40, 22,714.44 and 9,956.40

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Solution

The fourth proportional to 15,140.40, 22,714.44 and 9,956.40 is: 14,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.40 : 22,714.44 = 9,956.40 : x
  2. Step 2: Convert to fraction form
    15,140.40/22,714.44 = 9,956.40/x
  3. Step 3: Cross multiply
    15,140.40x = 22,714.44 × 9,956.40
  4. Step 4: Simplify right side
    15,140.40x = 226,154,050.42
  5. Step 5: Solve for x
    x = 226,154,050.42/15,140.40
  6. Step 6: Final answer
    x = 14,937.13

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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.