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Finding the Fourth Proportional to 6,464.90, 8,922.54 and 3,948.48

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Solution

The fourth proportional to 6,464.90, 8,922.54 and 3,948.48 is: 5,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.90 : 8,922.54 = 3,948.48 : x
  2. Step 2: Convert to fraction form
    6,464.90/8,922.54 = 3,948.48/x
  3. Step 3: Cross multiply
    6,464.90x = 8,922.54 × 3,948.48
  4. Step 4: Simplify right side
    6,464.90x = 35,230,470.74
  5. Step 5: Solve for x
    x = 35,230,470.74/6,464.90
  6. Step 6: Final answer
    x = 5,449.50

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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.