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Finding the Fourth Proportional to 12,034.70, 18,058.95 and 6,488.02

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Solution

The fourth proportional to 12,034.70, 18,058.95 and 6,488.02 is: 9,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.70 : 18,058.95 = 6,488.02 : x
  2. Step 2: Convert to fraction form
    12,034.70/18,058.95 = 6,488.02/x
  3. Step 3: Cross multiply
    12,034.70x = 18,058.95 × 6,488.02
  4. Step 4: Simplify right side
    12,034.70x = 117,166,828.78
  5. Step 5: Solve for x
    x = 117,166,828.78/12,034.70
  6. Step 6: Final answer
    x = 9,735.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.