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Finding the Fourth Proportional to 6,715.91, 10,071.14 and 3,017.15

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Solution

The fourth proportional to 6,715.91, 10,071.14 and 3,017.15 is: 4,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.91 : 10,071.14 = 3,017.15 : x
  2. Step 2: Convert to fraction form
    6,715.91/10,071.14 = 3,017.15/x
  3. Step 3: Cross multiply
    6,715.91x = 10,071.14 × 3,017.15
  4. Step 4: Simplify right side
    6,715.91x = 30,386,112.38
  5. Step 5: Solve for x
    x = 30,386,112.38/6,715.91
  6. Step 6: Final answer
    x = 4,524.49

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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.