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Finding the Fourth Proportional to 14,776.62, 20,373 and 9,462.48

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Solution

The fourth proportional to 14,776.62, 20,373 and 9,462.48 is: 13,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.62 : 20,373 = 9,462.48 : x
  2. Step 2: Convert to fraction form
    14,776.62/20,373 = 9,462.48/x
  3. Step 3: Cross multiply
    14,776.62x = 20,373 × 9,462.48
  4. Step 4: Simplify right side
    14,776.62x = 192,779,105.04
  5. Step 5: Solve for x
    x = 192,779,105.04/14,776.62
  6. Step 6: Final answer
    x = 13,046.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.