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Finding the Fourth Proportional to 6,510.57, 9,734.86 and 5,028.27

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Solution

The fourth proportional to 6,510.57, 9,734.86 and 5,028.27 is: 7,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.57 : 9,734.86 = 5,028.27 : x
  2. Step 2: Convert to fraction form
    6,510.57/9,734.86 = 5,028.27/x
  3. Step 3: Cross multiply
    6,510.57x = 9,734.86 × 5,028.27
  4. Step 4: Simplify right side
    6,510.57x = 48,949,504.49
  5. Step 5: Solve for x
    x = 48,949,504.49/6,510.57
  6. Step 6: Final answer
    x = 7,518.47

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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.