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Finding the Fourth Proportional to 6,493.76, 9,734.79 and 2,332.79

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Solution

The fourth proportional to 6,493.76, 9,734.79 and 2,332.79 is: 3,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.76 : 9,734.79 = 2,332.79 : x
  2. Step 2: Convert to fraction form
    6,493.76/9,734.79 = 2,332.79/x
  3. Step 3: Cross multiply
    6,493.76x = 9,734.79 × 2,332.79
  4. Step 4: Simplify right side
    6,493.76x = 22,709,217.34
  5. Step 5: Solve for x
    x = 22,709,217.34/6,493.76
  6. Step 6: Final answer
    x = 3,497.08

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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.