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Finding the Fourth Proportional to 6,133.92, 8,465 and 4,344.61

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Solution

The fourth proportional to 6,133.92, 8,465 and 4,344.61 is: 5,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.92 : 8,465 = 4,344.61 : x
  2. Step 2: Convert to fraction form
    6,133.92/8,465 = 4,344.61/x
  3. Step 3: Cross multiply
    6,133.92x = 8,465 × 4,344.61
  4. Step 4: Simplify right side
    6,133.92x = 36,777,123.65
  5. Step 5: Solve for x
    x = 36,777,123.65/6,133.92
  6. Step 6: Final answer
    x = 5,995.70

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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.