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Finding the Fourth Proportional to 11,304.80, 16,957.20 and 9,117.80

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Solution

The fourth proportional to 11,304.80, 16,957.20 and 9,117.80 is: 13,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.80 : 16,957.20 = 9,117.80 : x
  2. Step 2: Convert to fraction form
    11,304.80/16,957.20 = 9,117.80/x
  3. Step 3: Cross multiply
    11,304.80x = 16,957.20 × 9,117.80
  4. Step 4: Simplify right side
    11,304.80x = 154,612,358.16
  5. Step 5: Solve for x
    x = 154,612,358.16/11,304.80
  6. Step 6: Final answer
    x = 13,676.70

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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.