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Finding the Fourth Proportional to 8,442.80, 11,649.26 and 4,904.18

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Solution

The fourth proportional to 8,442.80, 11,649.26 and 4,904.18 is: 6,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.80 : 11,649.26 = 4,904.18 : x
  2. Step 2: Convert to fraction form
    8,442.80/11,649.26 = 4,904.18/x
  3. Step 3: Cross multiply
    8,442.80x = 11,649.26 × 4,904.18
  4. Step 4: Simplify right side
    8,442.80x = 57,130,067.91
  5. Step 5: Solve for x
    x = 57,130,067.91/8,442.80
  6. Step 6: Final answer
    x = 6,766.72

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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.