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Finding the Fourth Proportional to 6,497.71, 9,730.95 and 3,715.95

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Solution

The fourth proportional to 6,497.71, 9,730.95 and 3,715.95 is: 5,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.71 : 9,730.95 = 3,715.95 : x
  2. Step 2: Convert to fraction form
    6,497.71/9,730.95 = 3,715.95/x
  3. Step 3: Cross multiply
    6,497.71x = 9,730.95 × 3,715.95
  4. Step 4: Simplify right side
    6,497.71x = 36,159,723.65
  5. Step 5: Solve for x
    x = 36,159,723.65/6,497.71
  6. Step 6: Final answer
    x = 5,564.99

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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.