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Finding the Fourth Proportional to 16,470.62, 22,727.32 and 9,396.62

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Solution

The fourth proportional to 16,470.62, 22,727.32 and 9,396.62 is: 12,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.62 : 22,727.32 = 9,396.62 : x
  2. Step 2: Convert to fraction form
    16,470.62/22,727.32 = 9,396.62/x
  3. Step 3: Cross multiply
    16,470.62x = 22,727.32 × 9,396.62
  4. Step 4: Simplify right side
    16,470.62x = 213,559,989.66
  5. Step 5: Solve for x
    x = 213,559,989.66/16,470.62
  6. Step 6: Final answer
    x = 12,966.12

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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.