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Finding the Fourth Proportional to 6,592.04, 9,886.50 and 1,910.81

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Solution

The fourth proportional to 6,592.04, 9,886.50 and 1,910.81 is: 2,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.04 : 9,886.50 = 1,910.81 : x
  2. Step 2: Convert to fraction form
    6,592.04/9,886.50 = 1,910.81/x
  3. Step 3: Cross multiply
    6,592.04x = 9,886.50 × 1,910.81
  4. Step 4: Simplify right side
    6,592.04x = 18,891,223.07
  5. Step 5: Solve for x
    x = 18,891,223.07/6,592.04
  6. Step 6: Final answer
    x = 2,865.76

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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.