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Finding the Fourth Proportional to 7,164.66, 10,731.41 and 4,382.92

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Solution

The fourth proportional to 7,164.66, 10,731.41 and 4,382.92 is: 6,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.66 : 10,731.41 = 4,382.92 : x
  2. Step 2: Convert to fraction form
    7,164.66/10,731.41 = 4,382.92/x
  3. Step 3: Cross multiply
    7,164.66x = 10,731.41 × 4,382.92
  4. Step 4: Simplify right side
    7,164.66x = 47,034,911.52
  5. Step 5: Solve for x
    x = 47,034,911.52/7,164.66
  6. Step 6: Final answer
    x = 6,564.85

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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.