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Finding the Fourth Proportional to 10,471.32, 15,698.34 and 4,311

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Solution

The fourth proportional to 10,471.32, 15,698.34 and 4,311 is: 6,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.32 : 15,698.34 = 4,311 : x
  2. Step 2: Convert to fraction form
    10,471.32/15,698.34 = 4,311/x
  3. Step 3: Cross multiply
    10,471.32x = 15,698.34 × 4,311
  4. Step 4: Simplify right side
    10,471.32x = 67,675,543.74
  5. Step 5: Solve for x
    x = 67,675,543.74/10,471.32
  6. Step 6: Final answer
    x = 6,462.94

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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.