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Finding the Fourth Proportional to 10,471.77, 15,712.97 and 6,964.22

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Solution

The fourth proportional to 10,471.77, 15,712.97 and 6,964.22 is: 10,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.77 : 15,712.97 = 6,964.22 : x
  2. Step 2: Convert to fraction form
    10,471.77/15,712.97 = 6,964.22/x
  3. Step 3: Cross multiply
    10,471.77x = 15,712.97 × 6,964.22
  4. Step 4: Simplify right side
    10,471.77x = 109,428,466.55
  5. Step 5: Solve for x
    x = 109,428,466.55/10,471.77
  6. Step 6: Final answer
    x = 10,449.85

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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.