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Finding the Fourth Proportional to 9,850, 13,593 and 5,434

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Solution

The fourth proportional to 9,850, 13,593 and 5,434 is: 7,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850 : 13,593 = 5,434 : x
  2. Step 2: Convert to fraction form
    9,850/13,593 = 5,434/x
  3. Step 3: Cross multiply
    9,850x = 13,593 × 5,434
  4. Step 4: Simplify right side
    9,850x = 73,864,362
  5. Step 5: Solve for x
    x = 73,864,362/9,850
  6. Step 6: Final answer
    x = 7,498.92

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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.