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Finding the Fourth Proportional to 5,824.80, 8,737.65 and 1,665.18

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Solution

The fourth proportional to 5,824.80, 8,737.65 and 1,665.18 is: 2,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.80 : 8,737.65 = 1,665.18 : x
  2. Step 2: Convert to fraction form
    5,824.80/8,737.65 = 1,665.18/x
  3. Step 3: Cross multiply
    5,824.80x = 8,737.65 × 1,665.18
  4. Step 4: Simplify right side
    5,824.80x = 14,549,760.03
  5. Step 5: Solve for x
    x = 14,549,760.03/5,824.80
  6. Step 6: Final answer
    x = 2,497.90

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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.