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Finding the Fourth Proportional to 6,501.84, 9,732.52 and 3,532.86

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Solution

The fourth proportional to 6,501.84, 9,732.52 and 3,532.86 is: 5,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.84 : 9,732.52 = 3,532.86 : x
  2. Step 2: Convert to fraction form
    6,501.84/9,732.52 = 3,532.86/x
  3. Step 3: Cross multiply
    6,501.84x = 9,732.52 × 3,532.86
  4. Step 4: Simplify right side
    6,501.84x = 34,383,630.61
  5. Step 5: Solve for x
    x = 34,383,630.61/6,501.84
  6. Step 6: Final answer
    x = 5,288.29

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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.