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Finding the Fourth Proportional to 11,337.66, 15,649.05 and 7,358.53

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Solution

The fourth proportional to 11,337.66, 15,649.05 and 7,358.53 is: 10,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.66 : 15,649.05 = 7,358.53 : x
  2. Step 2: Convert to fraction form
    11,337.66/15,649.05 = 7,358.53/x
  3. Step 3: Cross multiply
    11,337.66x = 15,649.05 × 7,358.53
  4. Step 4: Simplify right side
    11,337.66x = 115,154,003.90
  5. Step 5: Solve for x
    x = 115,154,003.90/11,337.66
  6. Step 6: Final answer
    x = 10,156.77

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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.