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Finding the Fourth Proportional to 6,307.37, 8,641.14 and 6,070.91

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Solution

The fourth proportional to 6,307.37, 8,641.14 and 6,070.91 is: 8,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.37 : 8,641.14 = 6,070.91 : x
  2. Step 2: Convert to fraction form
    6,307.37/8,641.14 = 6,070.91/x
  3. Step 3: Cross multiply
    6,307.37x = 8,641.14 × 6,070.91
  4. Step 4: Simplify right side
    6,307.37x = 52,459,540.03
  5. Step 5: Solve for x
    x = 52,459,540.03/6,307.37
  6. Step 6: Final answer
    x = 8,317.18

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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.