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Finding the Fourth Proportional to 6,527.98, 9,008.54 and 3,695.92

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Solution

The fourth proportional to 6,527.98, 9,008.54 and 3,695.92 is: 5,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.98 : 9,008.54 = 3,695.92 : x
  2. Step 2: Convert to fraction form
    6,527.98/9,008.54 = 3,695.92/x
  3. Step 3: Cross multiply
    6,527.98x = 9,008.54 × 3,695.92
  4. Step 4: Simplify right side
    6,527.98x = 33,294,843.16
  5. Step 5: Solve for x
    x = 33,294,843.16/6,527.98
  6. Step 6: Final answer
    x = 5,100.33

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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.