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Finding the Fourth Proportional to 4,488.47, 6,732.71 and 1,410.47

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Solution

The fourth proportional to 4,488.47, 6,732.71 and 1,410.47 is: 2,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.47 : 6,732.71 = 1,410.47 : x
  2. Step 2: Convert to fraction form
    4,488.47/6,732.71 = 1,410.47/x
  3. Step 3: Cross multiply
    4,488.47x = 6,732.71 × 1,410.47
  4. Step 4: Simplify right side
    4,488.47x = 9,496,305.83
  5. Step 5: Solve for x
    x = 9,496,305.83/4,488.47
  6. Step 6: Final answer
    x = 2,115.71

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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.