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Finding the Fourth Proportional to 7,220.48, 9,971.54 and 6,220.12

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Solution

The fourth proportional to 7,220.48, 9,971.54 and 6,220.12 is: 8,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.48 : 9,971.54 = 6,220.12 : x
  2. Step 2: Convert to fraction form
    7,220.48/9,971.54 = 6,220.12/x
  3. Step 3: Cross multiply
    7,220.48x = 9,971.54 × 6,220.12
  4. Step 4: Simplify right side
    7,220.48x = 62,024,175.38
  5. Step 5: Solve for x
    x = 62,024,175.38/7,220.48
  6. Step 6: Final answer
    x = 8,590.03

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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.