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Finding the Fourth Proportional to 12,747.74, 19,123.55 and 6,504.34

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Solution

The fourth proportional to 12,747.74, 19,123.55 and 6,504.34 is: 9,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.74 : 19,123.55 = 6,504.34 : x
  2. Step 2: Convert to fraction form
    12,747.74/19,123.55 = 6,504.34/x
  3. Step 3: Cross multiply
    12,747.74x = 19,123.55 × 6,504.34
  4. Step 4: Simplify right side
    12,747.74x = 124,386,071.21
  5. Step 5: Solve for x
    x = 124,386,071.21/12,747.74
  6. Step 6: Final answer
    x = 9,757.50

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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.