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Finding the Fourth Proportional to 7,046.52, 10,567.06 and 2,115

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Solution

The fourth proportional to 7,046.52, 10,567.06 and 2,115 is: 3,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.52 : 10,567.06 = 2,115 : x
  2. Step 2: Convert to fraction form
    7,046.52/10,567.06 = 2,115/x
  3. Step 3: Cross multiply
    7,046.52x = 10,567.06 × 2,115
  4. Step 4: Simplify right side
    7,046.52x = 22,349,331.90
  5. Step 5: Solve for x
    x = 22,349,331.90/7,046.52
  6. Step 6: Final answer
    x = 3,171.68

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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.