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Finding the Fourth Proportional to 7,194.48, 9,927 and 4,398

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Solution

The fourth proportional to 7,194.48, 9,927 and 4,398 is: 6,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.48 : 9,927 = 4,398 : x
  2. Step 2: Convert to fraction form
    7,194.48/9,927 = 4,398/x
  3. Step 3: Cross multiply
    7,194.48x = 9,927 × 4,398
  4. Step 4: Simplify right side
    7,194.48x = 43,658,946
  5. Step 5: Solve for x
    x = 43,658,946/7,194.48
  6. Step 6: Final answer
    x = 6,068.39

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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.