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Finding the Fourth Proportional to 6,632.46, 9,943.16 and 2,470.14

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Solution

The fourth proportional to 6,632.46, 9,943.16 and 2,470.14 is: 3,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.46 : 9,943.16 = 2,470.14 : x
  2. Step 2: Convert to fraction form
    6,632.46/9,943.16 = 2,470.14/x
  3. Step 3: Cross multiply
    6,632.46x = 9,943.16 × 2,470.14
  4. Step 4: Simplify right side
    6,632.46x = 24,560,984.89
  5. Step 5: Solve for x
    x = 24,560,984.89/6,632.46
  6. Step 6: Final answer
    x = 3,703.15

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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.