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Finding the Fourth Proportional to 9,802.74, 13,530 and 6,029.20

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Solution

The fourth proportional to 9,802.74, 13,530 and 6,029.20 is: 8,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.74 : 13,530 = 6,029.20 : x
  2. Step 2: Convert to fraction form
    9,802.74/13,530 = 6,029.20/x
  3. Step 3: Cross multiply
    9,802.74x = 13,530 × 6,029.20
  4. Step 4: Simplify right side
    9,802.74x = 81,575,076
  5. Step 5: Solve for x
    x = 81,575,076/9,802.74
  6. Step 6: Final answer
    x = 8,321.66

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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.