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Finding the Fourth Proportional to 14,793.74, 20,417.36 and 9,416.71

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Solution

The fourth proportional to 14,793.74, 20,417.36 and 9,416.71 is: 12,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.74 : 20,417.36 = 9,416.71 : x
  2. Step 2: Convert to fraction form
    14,793.74/20,417.36 = 9,416.71/x
  3. Step 3: Cross multiply
    14,793.74x = 20,417.36 × 9,416.71
  4. Step 4: Simplify right side
    14,793.74x = 192,264,358.09
  5. Step 5: Solve for x
    x = 192,264,358.09/14,793.74
  6. Step 6: Final answer
    x = 12,996.33

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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.