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Finding the Fourth Proportional to 11,369.84, 15,680.10 and 8,948.24

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Solution

The fourth proportional to 11,369.84, 15,680.10 and 8,948.24 is: 12,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.84 : 15,680.10 = 8,948.24 : x
  2. Step 2: Convert to fraction form
    11,369.84/15,680.10 = 8,948.24/x
  3. Step 3: Cross multiply
    11,369.84x = 15,680.10 × 8,948.24
  4. Step 4: Simplify right side
    11,369.84x = 140,309,298.02
  5. Step 5: Solve for x
    x = 140,309,298.02/11,369.84
  6. Step 6: Final answer
    x = 12,340.48

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Double scale
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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.