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Finding the Fourth Proportional to 41,173.84, 61,760.76 and 10,009

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Solution

The fourth proportional to 41,173.84, 61,760.76 and 10,009 is: 15,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,173.84 : 61,760.76 = 10,009 : x
  2. Step 2: Convert to fraction form
    41,173.84/61,760.76 = 10,009/x
  3. Step 3: Cross multiply
    41,173.84x = 61,760.76 × 10,009
  4. Step 4: Simplify right side
    41,173.84x = 618,163,446.84
  5. Step 5: Solve for x
    x = 618,163,446.84/41,173.84
  6. Step 6: Final answer
    x = 15,013.50

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1.5x scale

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.