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Finding the Fourth Proportional to 6,470.76, 8,924.94 and 4,481.40

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Solution

The fourth proportional to 6,470.76, 8,924.94 and 4,481.40 is: 6,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.76 : 8,924.94 = 4,481.40 : x
  2. Step 2: Convert to fraction form
    6,470.76/8,924.94 = 4,481.40/x
  3. Step 3: Cross multiply
    6,470.76x = 8,924.94 × 4,481.40
  4. Step 4: Simplify right side
    6,470.76x = 39,996,226.12
  5. Step 5: Solve for x
    x = 39,996,226.12/6,470.76
  6. Step 6: Final answer
    x = 6,181.07

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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.