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Finding the Fourth Proportional to 6,234.74, 8,605.42 and 3,875.48

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Solution

The fourth proportional to 6,234.74, 8,605.42 and 3,875.48 is: 5,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.74 : 8,605.42 = 3,875.48 : x
  2. Step 2: Convert to fraction form
    6,234.74/8,605.42 = 3,875.48/x
  3. Step 3: Cross multiply
    6,234.74x = 8,605.42 × 3,875.48
  4. Step 4: Simplify right side
    6,234.74x = 33,350,133.10
  5. Step 5: Solve for x
    x = 33,350,133.10/6,234.74
  6. Step 6: Final answer
    x = 5,349.08

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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.