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Finding the Fourth Proportional to 6,513.20, 9,766.20 and 2,352.50

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Solution

The fourth proportional to 6,513.20, 9,766.20 and 2,352.50 is: 3,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.20 : 9,766.20 = 2,352.50 : x
  2. Step 2: Convert to fraction form
    6,513.20/9,766.20 = 2,352.50/x
  3. Step 3: Cross multiply
    6,513.20x = 9,766.20 × 2,352.50
  4. Step 4: Simplify right side
    6,513.20x = 22,974,985.50
  5. Step 5: Solve for x
    x = 22,974,985.50/6,513.20
  6. Step 6: Final answer
    x = 3,527.45

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1.5x scale

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.