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Finding the Fourth Proportional to 25,497, 38,248.74 and 7,029

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Solution

The fourth proportional to 25,497, 38,248.74 and 7,029 is: 10,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497 : 38,248.74 = 7,029 : x
  2. Step 2: Convert to fraction form
    25,497/38,248.74 = 7,029/x
  3. Step 3: Cross multiply
    25,497x = 38,248.74 × 7,029
  4. Step 4: Simplify right side
    25,497x = 268,850,393.46
  5. Step 5: Solve for x
    x = 268,850,393.46/25,497
  6. Step 6: Final answer
    x = 10,544.39

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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.