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Finding the Fourth Proportional to 16,635.64, 22,957.86 and 9,082.48

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Solution

The fourth proportional to 16,635.64, 22,957.86 and 9,082.48 is: 12,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635.64 : 22,957.86 = 9,082.48 : x
  2. Step 2: Convert to fraction form
    16,635.64/22,957.86 = 9,082.48/x
  3. Step 3: Cross multiply
    16,635.64x = 22,957.86 × 9,082.48
  4. Step 4: Simplify right side
    16,635.64x = 208,514,304.29
  5. Step 5: Solve for x
    x = 208,514,304.29/16,635.64
  6. Step 6: Final answer
    x = 12,534.19

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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.