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Finding the Fourth Proportional to 6,043, 9,065.80 and 1,882.92

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Solution

The fourth proportional to 6,043, 9,065.80 and 1,882.92 is: 2,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043 : 9,065.80 = 1,882.92 : x
  2. Step 2: Convert to fraction form
    6,043/9,065.80 = 1,882.92/x
  3. Step 3: Cross multiply
    6,043x = 9,065.80 × 1,882.92
  4. Step 4: Simplify right side
    6,043x = 17,070,176.14
  5. Step 5: Solve for x
    x = 17,070,176.14/6,043
  6. Step 6: Final answer
    x = 2,824.79

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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.