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Finding the Fourth Proportional to 10,393.82, 15,593.01 and 5,946.92

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Solution

The fourth proportional to 10,393.82, 15,593.01 and 5,946.92 is: 8,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.82 : 15,593.01 = 5,946.92 : x
  2. Step 2: Convert to fraction form
    10,393.82/15,593.01 = 5,946.92/x
  3. Step 3: Cross multiply
    10,393.82x = 15,593.01 × 5,946.92
  4. Step 4: Simplify right side
    10,393.82x = 92,730,341.24
  5. Step 5: Solve for x
    x = 92,730,341.24/10,393.82
  6. Step 6: Final answer
    x = 8,921.68

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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.