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Finding the Fourth Proportional to 6,502.07, 9,753.56 and 3,214.28

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Solution

The fourth proportional to 6,502.07, 9,753.56 and 3,214.28 is: 4,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.07 : 9,753.56 = 3,214.28 : x
  2. Step 2: Convert to fraction form
    6,502.07/9,753.56 = 3,214.28/x
  3. Step 3: Cross multiply
    6,502.07x = 9,753.56 × 3,214.28
  4. Step 4: Simplify right side
    6,502.07x = 31,350,672.84
  5. Step 5: Solve for x
    x = 31,350,672.84/6,502.07
  6. Step 6: Final answer
    x = 4,821.64

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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.