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Finding the Fourth Proportional to 6,510.77, 9,766.12 and 1,580.43

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Solution

The fourth proportional to 6,510.77, 9,766.12 and 1,580.43 is: 2,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.77 : 9,766.12 = 1,580.43 : x
  2. Step 2: Convert to fraction form
    6,510.77/9,766.12 = 1,580.43/x
  3. Step 3: Cross multiply
    6,510.77x = 9,766.12 × 1,580.43
  4. Step 4: Simplify right side
    6,510.77x = 15,434,669.03
  5. Step 5: Solve for x
    x = 15,434,669.03/6,510.77
  6. Step 6: Final answer
    x = 2,370.64

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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.