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Finding the Fourth Proportional to 16,484.31, 22,747.10 and 9,409.77

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Solution

The fourth proportional to 16,484.31, 22,747.10 and 9,409.77 is: 12,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.31 : 22,747.10 = 9,409.77 : x
  2. Step 2: Convert to fraction form
    16,484.31/22,747.10 = 9,409.77/x
  3. Step 3: Cross multiply
    16,484.31x = 22,747.10 × 9,409.77
  4. Step 4: Simplify right side
    16,484.31x = 214,044,932.12
  5. Step 5: Solve for x
    x = 214,044,932.12/16,484.31
  6. Step 6: Final answer
    x = 12,984.77

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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.