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Finding the Fourth Proportional to 13,474.34, 18,593.71 and 7,505.85

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Solution

The fourth proportional to 13,474.34, 18,593.71 and 7,505.85 is: 10,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.34 : 18,593.71 = 7,505.85 : x
  2. Step 2: Convert to fraction form
    13,474.34/18,593.71 = 7,505.85/x
  3. Step 3: Cross multiply
    13,474.34x = 18,593.71 × 7,505.85
  4. Step 4: Simplify right side
    13,474.34x = 139,561,598.20
  5. Step 5: Solve for x
    x = 139,561,598.20/13,474.34
  6. Step 6: Final answer
    x = 10,357.58

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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.