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Finding the Fourth Proportional to 6,354.76, 9,532.68 and 1,737.76

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Solution

The fourth proportional to 6,354.76, 9,532.68 and 1,737.76 is: 2,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.76 : 9,532.68 = 1,737.76 : x
  2. Step 2: Convert to fraction form
    6,354.76/9,532.68 = 1,737.76/x
  3. Step 3: Cross multiply
    6,354.76x = 9,532.68 × 1,737.76
  4. Step 4: Simplify right side
    6,354.76x = 16,565,510.00
  5. Step 5: Solve for x
    x = 16,565,510.00/6,354.76
  6. Step 6: Final answer
    x = 2,606.79

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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.