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Finding the Fourth Proportional to 6,473.79, 9,710.61 and 2,091.15

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Solution

The fourth proportional to 6,473.79, 9,710.61 and 2,091.15 is: 3,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.79 : 9,710.61 = 2,091.15 : x
  2. Step 2: Convert to fraction form
    6,473.79/9,710.61 = 2,091.15/x
  3. Step 3: Cross multiply
    6,473.79x = 9,710.61 × 2,091.15
  4. Step 4: Simplify right side
    6,473.79x = 20,306,342.10
  5. Step 5: Solve for x
    x = 20,306,342.10/6,473.79
  6. Step 6: Final answer
    x = 3,136.70

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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.