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Finding the Fourth Proportional to 14,975.20, 22,462.80 and 9,143.20

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Solution

The fourth proportional to 14,975.20, 22,462.80 and 9,143.20 is: 13,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,975.20 : 22,462.80 = 9,143.20 : x
  2. Step 2: Convert to fraction form
    14,975.20/22,462.80 = 9,143.20/x
  3. Step 3: Cross multiply
    14,975.20x = 22,462.80 × 9,143.20
  4. Step 4: Simplify right side
    14,975.20x = 205,381,872.96
  5. Step 5: Solve for x
    x = 205,381,872.96/14,975.20
  6. Step 6: Final answer
    x = 13,714.80

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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.