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Finding the Fourth Proportional to 7,323.46, 10,106.28 and 3,966.20

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Solution

The fourth proportional to 7,323.46, 10,106.28 and 3,966.20 is: 5,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.46 : 10,106.28 = 3,966.20 : x
  2. Step 2: Convert to fraction form
    7,323.46/10,106.28 = 3,966.20/x
  3. Step 3: Cross multiply
    7,323.46x = 10,106.28 × 3,966.20
  4. Step 4: Simplify right side
    7,323.46x = 40,083,527.74
  5. Step 5: Solve for x
    x = 40,083,527.74/7,323.46
  6. Step 6: Final answer
    x = 5,473.30

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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.