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Finding the Fourth Proportional to 9,677.80, 14,479.99 and 5,731.17

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Solution

The fourth proportional to 9,677.80, 14,479.99 and 5,731.17 is: 8,575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.80 : 14,479.99 = 5,731.17 : x
  2. Step 2: Convert to fraction form
    9,677.80/14,479.99 = 5,731.17/x
  3. Step 3: Cross multiply
    9,677.80x = 14,479.99 × 5,731.17
  4. Step 4: Simplify right side
    9,677.80x = 82,987,269.96
  5. Step 5: Solve for x
    x = 82,987,269.96/9,677.80
  6. Step 6: Final answer
    x = 8,575.02

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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.