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Finding the Fourth Proportional to 7,107.50, 9,808.74 and 3,963.68

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Solution

The fourth proportional to 7,107.50, 9,808.74 and 3,963.68 is: 5,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.50 : 9,808.74 = 3,963.68 : x
  2. Step 2: Convert to fraction form
    7,107.50/9,808.74 = 3,963.68/x
  3. Step 3: Cross multiply
    7,107.50x = 9,808.74 × 3,963.68
  4. Step 4: Simplify right side
    7,107.50x = 38,878,706.56
  5. Step 5: Solve for x
    x = 38,878,706.56/7,107.50
  6. Step 6: Final answer
    x = 5,470.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.