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Finding the Fourth Proportional to 6,359.84, 9,545.52 and 3,400.76

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Solution

The fourth proportional to 6,359.84, 9,545.52 and 3,400.76 is: 5,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.84 : 9,545.52 = 3,400.76 : x
  2. Step 2: Convert to fraction form
    6,359.84/9,545.52 = 3,400.76/x
  3. Step 3: Cross multiply
    6,359.84x = 9,545.52 × 3,400.76
  4. Step 4: Simplify right side
    6,359.84x = 32,462,022.60
  5. Step 5: Solve for x
    x = 32,462,022.60/6,359.84
  6. Step 6: Final answer
    x = 5,104.22

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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.