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Finding the Fourth Proportional to 6,513.76, 9,764.63 and 2,352.78

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Solution

The fourth proportional to 6,513.76, 9,764.63 and 2,352.78 is: 3,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.76 : 9,764.63 = 2,352.78 : x
  2. Step 2: Convert to fraction form
    6,513.76/9,764.63 = 2,352.78/x
  3. Step 3: Cross multiply
    6,513.76x = 9,764.63 × 2,352.78
  4. Step 4: Simplify right side
    6,513.76x = 22,974,026.17
  5. Step 5: Solve for x
    x = 22,974,026.17/6,513.76
  6. Step 6: Final answer
    x = 3,527.00

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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.