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Finding the Fourth Proportional to 27,747, 41,617.44 and 6,970.50

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Solution

The fourth proportional to 27,747, 41,617.44 and 6,970.50 is: 10,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747 : 41,617.44 = 6,970.50 : x
  2. Step 2: Convert to fraction form
    27,747/41,617.44 = 6,970.50/x
  3. Step 3: Cross multiply
    27,747x = 41,617.44 × 6,970.50
  4. Step 4: Simplify right side
    27,747x = 290,094,365.52
  5. Step 5: Solve for x
    x = 290,094,365.52/27,747
  6. Step 6: Final answer
    x = 10,454.98

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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.