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Finding the Fourth Proportional to 6,551.42, 9,819.23 and 2,599.02

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Solution

The fourth proportional to 6,551.42, 9,819.23 and 2,599.02 is: 3,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.42 : 9,819.23 = 2,599.02 : x
  2. Step 2: Convert to fraction form
    6,551.42/9,819.23 = 2,599.02/x
  3. Step 3: Cross multiply
    6,551.42x = 9,819.23 × 2,599.02
  4. Step 4: Simplify right side
    6,551.42x = 25,520,362.16
  5. Step 5: Solve for x
    x = 25,520,362.16/6,551.42
  6. Step 6: Final answer
    x = 3,895.40

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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.