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Finding the Fourth Proportional to 6,287.16, 8,677.38 and 4,701.74

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Solution

The fourth proportional to 6,287.16, 8,677.38 and 4,701.74 is: 6,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.16 : 8,677.38 = 4,701.74 : x
  2. Step 2: Convert to fraction form
    6,287.16/8,677.38 = 4,701.74/x
  3. Step 3: Cross multiply
    6,287.16x = 8,677.38 × 4,701.74
  4. Step 4: Simplify right side
    6,287.16x = 40,798,784.64
  5. Step 5: Solve for x
    x = 40,798,784.64/6,287.16
  6. Step 6: Final answer
    x = 6,489.22

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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.