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Finding the Fourth Proportional to 8,101.66, 12,152.08 and 3,172.20

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Solution

The fourth proportional to 8,101.66, 12,152.08 and 3,172.20 is: 4,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.66 : 12,152.08 = 3,172.20 : x
  2. Step 2: Convert to fraction form
    8,101.66/12,152.08 = 3,172.20/x
  3. Step 3: Cross multiply
    8,101.66x = 12,152.08 × 3,172.20
  4. Step 4: Simplify right side
    8,101.66x = 38,548,812.32
  5. Step 5: Solve for x
    x = 38,548,812.32/8,101.66
  6. Step 6: Final answer
    x = 4,758.14

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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.