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Finding the Fourth Proportional to 12,524, 17,283.12 and 6,935

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Solution

The fourth proportional to 12,524, 17,283.12 and 6,935 is: 9,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524 : 17,283.12 = 6,935 : x
  2. Step 2: Convert to fraction form
    12,524/17,283.12 = 6,935/x
  3. Step 3: Cross multiply
    12,524x = 17,283.12 × 6,935
  4. Step 4: Simplify right side
    12,524x = 119,858,437.20
  5. Step 5: Solve for x
    x = 119,858,437.20/12,524
  6. Step 6: Final answer
    x = 9,570.30

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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.