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Finding the Fourth Proportional to 16,277.52, 22,463.42 and 9,205

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Solution

The fourth proportional to 16,277.52, 22,463.42 and 9,205 is: 12,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.52 : 22,463.42 = 9,205 : x
  2. Step 2: Convert to fraction form
    16,277.52/22,463.42 = 9,205/x
  3. Step 3: Cross multiply
    16,277.52x = 22,463.42 × 9,205
  4. Step 4: Simplify right side
    16,277.52x = 206,775,781.10
  5. Step 5: Solve for x
    x = 206,775,781.10/16,277.52
  6. Step 6: Final answer
    x = 12,703.15

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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.