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Finding the Fourth Proportional to 4,711.92, 7,068.08 and 1,591.65

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Solution

The fourth proportional to 4,711.92, 7,068.08 and 1,591.65 is: 2,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.92 : 7,068.08 = 1,591.65 : x
  2. Step 2: Convert to fraction form
    4,711.92/7,068.08 = 1,591.65/x
  3. Step 3: Cross multiply
    4,711.92x = 7,068.08 × 1,591.65
  4. Step 4: Simplify right side
    4,711.92x = 11,249,909.53
  5. Step 5: Solve for x
    x = 11,249,909.53/4,711.92
  6. Step 6: Final answer
    x = 2,387.54

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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.