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Finding the Fourth Proportional to 8,041.78, 11,097.37 and 4,456.90

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Solution

The fourth proportional to 8,041.78, 11,097.37 and 4,456.90 is: 6,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.78 : 11,097.37 = 4,456.90 : x
  2. Step 2: Convert to fraction form
    8,041.78/11,097.37 = 4,456.90/x
  3. Step 3: Cross multiply
    8,041.78x = 11,097.37 × 4,456.90
  4. Step 4: Simplify right side
    8,041.78x = 49,459,868.35
  5. Step 5: Solve for x
    x = 49,459,868.35/8,041.78
  6. Step 6: Final answer
    x = 6,150.36

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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.