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Finding the Fourth Proportional to 6,143.80, 9,221.64 and 5,810.80

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Solution

The fourth proportional to 6,143.80, 9,221.64 and 5,810.80 is: 8,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.80 : 9,221.64 = 5,810.80 : x
  2. Step 2: Convert to fraction form
    6,143.80/9,221.64 = 5,810.80/x
  3. Step 3: Cross multiply
    6,143.80x = 9,221.64 × 5,810.80
  4. Step 4: Simplify right side
    6,143.80x = 53,585,105.71
  5. Step 5: Solve for x
    x = 53,585,105.71/6,143.80
  6. Step 6: Final answer
    x = 8,721.82

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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.