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Finding the Fourth Proportional to 6,314.47, 8,713.90 and 3,482.09

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Solution

The fourth proportional to 6,314.47, 8,713.90 and 3,482.09 is: 4,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.47 : 8,713.90 = 3,482.09 : x
  2. Step 2: Convert to fraction form
    6,314.47/8,713.90 = 3,482.09/x
  3. Step 3: Cross multiply
    6,314.47x = 8,713.90 × 3,482.09
  4. Step 4: Simplify right side
    6,314.47x = 30,342,597.13
  5. Step 5: Solve for x
    x = 30,342,597.13/6,314.47
  6. Step 6: Final answer
    x = 4,805.25

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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.