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Finding the Fourth Proportional to 6,473.50, 9,711.42 and 4,284.04

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Solution

The fourth proportional to 6,473.50, 9,711.42 and 4,284.04 is: 6,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.50 : 9,711.42 = 4,284.04 : x
  2. Step 2: Convert to fraction form
    6,473.50/9,711.42 = 4,284.04/x
  3. Step 3: Cross multiply
    6,473.50x = 9,711.42 × 4,284.04
  4. Step 4: Simplify right side
    6,473.50x = 41,604,111.74
  5. Step 5: Solve for x
    x = 41,604,111.74/6,473.50
  6. Step 6: Final answer
    x = 6,426.83

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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.