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Finding the Fourth Proportional to 6,437.78, 8,882.85 and 3,918.20

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Solution

The fourth proportional to 6,437.78, 8,882.85 and 3,918.20 is: 5,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.78 : 8,882.85 = 3,918.20 : x
  2. Step 2: Convert to fraction form
    6,437.78/8,882.85 = 3,918.20/x
  3. Step 3: Cross multiply
    6,437.78x = 8,882.85 × 3,918.20
  4. Step 4: Simplify right side
    6,437.78x = 34,804,718.86
  5. Step 5: Solve for x
    x = 34,804,718.86/6,437.78
  6. Step 6: Final answer
    x = 5,406.33

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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.