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Finding the Fourth Proportional to 6,410.02, 8,842.62 and 3,757

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Solution

The fourth proportional to 6,410.02, 8,842.62 and 3,757 is: 5,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.02 : 8,842.62 = 3,757 : x
  2. Step 2: Convert to fraction form
    6,410.02/8,842.62 = 3,757/x
  3. Step 3: Cross multiply
    6,410.02x = 8,842.62 × 3,757
  4. Step 4: Simplify right side
    6,410.02x = 33,221,723.34
  5. Step 5: Solve for x
    x = 33,221,723.34/6,410.02
  6. Step 6: Final answer
    x = 5,182.78

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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.