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Finding the Fourth Proportional to 6,482.13, 9,721.58 and 1,865.13

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Solution

The fourth proportional to 6,482.13, 9,721.58 and 1,865.13 is: 2,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.13 : 9,721.58 = 1,865.13 : x
  2. Step 2: Convert to fraction form
    6,482.13/9,721.58 = 1,865.13/x
  3. Step 3: Cross multiply
    6,482.13x = 9,721.58 × 1,865.13
  4. Step 4: Simplify right side
    6,482.13x = 18,132,001.18
  5. Step 5: Solve for x
    x = 18,132,001.18/6,482.13
  6. Step 6: Final answer
    x = 2,797.23

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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.