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Finding the Fourth Proportional to 6,527.52, 9,001.80 and 4,285.44

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Solution

The fourth proportional to 6,527.52, 9,001.80 and 4,285.44 is: 5,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.52 : 9,001.80 = 4,285.44 : x
  2. Step 2: Convert to fraction form
    6,527.52/9,001.80 = 4,285.44/x
  3. Step 3: Cross multiply
    6,527.52x = 9,001.80 × 4,285.44
  4. Step 4: Simplify right side
    6,527.52x = 38,576,673.79
  5. Step 5: Solve for x
    x = 38,576,673.79/6,527.52
  6. Step 6: Final answer
    x = 5,909.85

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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.