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Finding the Fourth Proportional to 14,843.61, 20,471.10 and 9,177.46

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Solution

The fourth proportional to 14,843.61, 20,471.10 and 9,177.46 is: 12,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.61 : 20,471.10 = 9,177.46 : x
  2. Step 2: Convert to fraction form
    14,843.61/20,471.10 = 9,177.46/x
  3. Step 3: Cross multiply
    14,843.61x = 20,471.10 × 9,177.46
  4. Step 4: Simplify right side
    14,843.61x = 187,872,615.81
  5. Step 5: Solve for x
    x = 187,872,615.81/14,843.61
  6. Step 6: Final answer
    x = 12,656.80

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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.