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Finding the Fourth Proportional to 8,130.11, 12,199.70 and 8,068.14

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Solution

The fourth proportional to 8,130.11, 12,199.70 and 8,068.14 is: 12,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.11 : 12,199.70 = 8,068.14 : x
  2. Step 2: Convert to fraction form
    8,130.11/12,199.70 = 8,068.14/x
  3. Step 3: Cross multiply
    8,130.11x = 12,199.70 × 8,068.14
  4. Step 4: Simplify right side
    8,130.11x = 98,428,907.73
  5. Step 5: Solve for x
    x = 98,428,907.73/8,130.11
  6. Step 6: Final answer
    x = 12,106.72

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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.