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Finding the Fourth Proportional to 9,524, 13,143.12 and 5,798

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Solution

The fourth proportional to 9,524, 13,143.12 and 5,798 is: 8,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524 : 13,143.12 = 5,798 : x
  2. Step 2: Convert to fraction form
    9,524/13,143.12 = 5,798/x
  3. Step 3: Cross multiply
    9,524x = 13,143.12 × 5,798
  4. Step 4: Simplify right side
    9,524x = 76,203,809.76
  5. Step 5: Solve for x
    x = 76,203,809.76/9,524
  6. Step 6: Final answer
    x = 8,001.24

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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.