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Finding the Fourth Proportional to 6,598.46, 9,902.25 and 3,478.34

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Solution

The fourth proportional to 6,598.46, 9,902.25 and 3,478.34 is: 5,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.46 : 9,902.25 = 3,478.34 : x
  2. Step 2: Convert to fraction form
    6,598.46/9,902.25 = 3,478.34/x
  3. Step 3: Cross multiply
    6,598.46x = 9,902.25 × 3,478.34
  4. Step 4: Simplify right side
    6,598.46x = 34,443,417.02
  5. Step 5: Solve for x
    x = 34,443,417.02/6,598.46
  6. Step 6: Final answer
    x = 5,219.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.