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Finding the Fourth Proportional to 6,500.46, 9,735.06 and 3,718.71

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Solution

The fourth proportional to 6,500.46, 9,735.06 and 3,718.71 is: 5,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.46 : 9,735.06 = 3,718.71 : x
  2. Step 2: Convert to fraction form
    6,500.46/9,735.06 = 3,718.71/x
  3. Step 3: Cross multiply
    6,500.46x = 9,735.06 × 3,718.71
  4. Step 4: Simplify right side
    6,500.46x = 36,201,864.97
  5. Step 5: Solve for x
    x = 36,201,864.97/6,500.46
  6. Step 6: Final answer
    x = 5,569.12

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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.