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Finding the Fourth Proportional to 9,925.12, 13,695 and 5,732.56

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Solution

The fourth proportional to 9,925.12, 13,695 and 5,732.56 is: 7,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.12 : 13,695 = 5,732.56 : x
  2. Step 2: Convert to fraction form
    9,925.12/13,695 = 5,732.56/x
  3. Step 3: Cross multiply
    9,925.12x = 13,695 × 5,732.56
  4. Step 4: Simplify right side
    9,925.12x = 78,507,409.20
  5. Step 5: Solve for x
    x = 78,507,409.20/9,925.12
  6. Step 6: Final answer
    x = 7,909.97

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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.