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Finding the Fourth Proportional to 10,363.92, 14,302.12 and 5,648.20

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Solution

The fourth proportional to 10,363.92, 14,302.12 and 5,648.20 is: 7,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.92 : 14,302.12 = 5,648.20 : x
  2. Step 2: Convert to fraction form
    10,363.92/14,302.12 = 5,648.20/x
  3. Step 3: Cross multiply
    10,363.92x = 14,302.12 × 5,648.20
  4. Step 4: Simplify right side
    10,363.92x = 80,781,234.18
  5. Step 5: Solve for x
    x = 80,781,234.18/10,363.92
  6. Step 6: Final answer
    x = 7,794.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.