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Finding the Fourth Proportional to 6,799.24, 9,382.88 and 4,146.48

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Solution

The fourth proportional to 6,799.24, 9,382.88 and 4,146.48 is: 5,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.24 : 9,382.88 = 4,146.48 : x
  2. Step 2: Convert to fraction form
    6,799.24/9,382.88 = 4,146.48/x
  3. Step 3: Cross multiply
    6,799.24x = 9,382.88 × 4,146.48
  4. Step 4: Simplify right side
    6,799.24x = 38,905,924.26
  5. Step 5: Solve for x
    x = 38,905,924.26/6,799.24
  6. Step 6: Final answer
    x = 5,722.10

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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.