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Finding the Fourth Proportional to 6,510.73, 9,766.04 and 1,580.39

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Solution

The fourth proportional to 6,510.73, 9,766.04 and 1,580.39 is: 2,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.73 : 9,766.04 = 1,580.39 : x
  2. Step 2: Convert to fraction form
    6,510.73/9,766.04 = 1,580.39/x
  3. Step 3: Cross multiply
    6,510.73x = 9,766.04 × 1,580.39
  4. Step 4: Simplify right side
    6,510.73x = 15,434,095.22
  5. Step 5: Solve for x
    x = 15,434,095.22/6,510.73
  6. Step 6: Final answer
    x = 2,370.56

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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.