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Finding the Fourth Proportional to 6,338.76, 9,507.52 and 2,828.92

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Solution

The fourth proportional to 6,338.76, 9,507.52 and 2,828.92 is: 4,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.76 : 9,507.52 = 2,828.92 : x
  2. Step 2: Convert to fraction form
    6,338.76/9,507.52 = 2,828.92/x
  3. Step 3: Cross multiply
    6,338.76x = 9,507.52 × 2,828.92
  4. Step 4: Simplify right side
    6,338.76x = 26,896,013.48
  5. Step 5: Solve for x
    x = 26,896,013.48/6,338.76
  6. Step 6: Final answer
    x = 4,243.10

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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.