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Finding the Fourth Proportional to 17,779.66, 24,535.62 and 9,821.74

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Solution

The fourth proportional to 17,779.66, 24,535.62 and 9,821.74 is: 13,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.66 : 24,535.62 = 9,821.74 : x
  2. Step 2: Convert to fraction form
    17,779.66/24,535.62 = 9,821.74/x
  3. Step 3: Cross multiply
    17,779.66x = 24,535.62 × 9,821.74
  4. Step 4: Simplify right side
    17,779.66x = 240,982,480.38
  5. Step 5: Solve for x
    x = 240,982,480.38/17,779.66
  6. Step 6: Final answer
    x = 13,553.83

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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.