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Finding the Fourth Proportional to 6,762.97, 10,146.53 and 3,207.84

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Solution

The fourth proportional to 6,762.97, 10,146.53 and 3,207.84 is: 4,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.97 : 10,146.53 = 3,207.84 : x
  2. Step 2: Convert to fraction form
    6,762.97/10,146.53 = 3,207.84/x
  3. Step 3: Cross multiply
    6,762.97x = 10,146.53 × 3,207.84
  4. Step 4: Simplify right side
    6,762.97x = 32,548,444.80
  5. Step 5: Solve for x
    x = 32,548,444.80/6,762.97
  6. Step 6: Final answer
    x = 4,812.74

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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.