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Finding the Fourth Proportional to 7,251.04, 9,997.68 and 6,130

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Solution

The fourth proportional to 7,251.04, 9,997.68 and 6,130 is: 8,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.04 : 9,997.68 = 6,130 : x
  2. Step 2: Convert to fraction form
    7,251.04/9,997.68 = 6,130/x
  3. Step 3: Cross multiply
    7,251.04x = 9,997.68 × 6,130
  4. Step 4: Simplify right side
    7,251.04x = 61,285,778.40
  5. Step 5: Solve for x
    x = 61,285,778.40/7,251.04
  6. Step 6: Final answer
    x = 8,452.00

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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.