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Finding the Fourth Proportional to 7,323.67, 10,106.67 and 3,966.50

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Solution

The fourth proportional to 7,323.67, 10,106.67 and 3,966.50 is: 5,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.67 : 10,106.67 = 3,966.50 : x
  2. Step 2: Convert to fraction form
    7,323.67/10,106.67 = 3,966.50/x
  3. Step 3: Cross multiply
    7,323.67x = 10,106.67 × 3,966.50
  4. Step 4: Simplify right side
    7,323.67x = 40,088,146.70
  5. Step 5: Solve for x
    x = 40,088,146.70/7,323.67
  6. Step 6: Final answer
    x = 5,473.78

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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.