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Finding the Fourth Proportional to 6,308.63, 8,642.86 and 6,072.16

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Solution

The fourth proportional to 6,308.63, 8,642.86 and 6,072.16 is: 8,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.63 : 8,642.86 = 6,072.16 : x
  2. Step 2: Convert to fraction form
    6,308.63/8,642.86 = 6,072.16/x
  3. Step 3: Cross multiply
    6,308.63x = 8,642.86 × 6,072.16
  4. Step 4: Simplify right side
    6,308.63x = 52,480,755.20
  5. Step 5: Solve for x
    x = 52,480,755.20/6,308.63
  6. Step 6: Final answer
    x = 8,318.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.