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Finding the Fourth Proportional to 6,546.53, 9,820.02 and 2,598.52

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Solution

The fourth proportional to 6,546.53, 9,820.02 and 2,598.52 is: 3,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.53 : 9,820.02 = 2,598.52 : x
  2. Step 2: Convert to fraction form
    6,546.53/9,820.02 = 2,598.52/x
  3. Step 3: Cross multiply
    6,546.53x = 9,820.02 × 2,598.52
  4. Step 4: Simplify right side
    6,546.53x = 25,517,518.37
  5. Step 5: Solve for x
    x = 25,517,518.37/6,546.53
  6. Step 6: Final answer
    x = 3,897.87

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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.