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Finding the Fourth Proportional to 11,593.64, 17,393.70 and 3,807.92

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Solution

The fourth proportional to 11,593.64, 17,393.70 and 3,807.92 is: 5,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.64 : 17,393.70 = 3,807.92 : x
  2. Step 2: Convert to fraction form
    11,593.64/17,393.70 = 3,807.92/x
  3. Step 3: Cross multiply
    11,593.64x = 17,393.70 × 3,807.92
  4. Step 4: Simplify right side
    11,593.64x = 66,233,818.10
  5. Step 5: Solve for x
    x = 66,233,818.10/11,593.64
  6. Step 6: Final answer
    x = 5,712.94

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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.