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Finding the Fourth Proportional to 7,005.71, 10,513.95 and 5,231.20

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Solution

The fourth proportional to 7,005.71, 10,513.95 and 5,231.20 is: 7,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.71 : 10,513.95 = 5,231.20 : x
  2. Step 2: Convert to fraction form
    7,005.71/10,513.95 = 5,231.20/x
  3. Step 3: Cross multiply
    7,005.71x = 10,513.95 × 5,231.20
  4. Step 4: Simplify right side
    7,005.71x = 55,000,575.24
  5. Step 5: Solve for x
    x = 55,000,575.24/7,005.71
  6. Step 6: Final answer
    x = 7,850.82

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1.5x scale

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.