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Finding the Fourth Proportional to 8,538.20, 12,807.30 and 7,962.20

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Solution

The fourth proportional to 8,538.20, 12,807.30 and 7,962.20 is: 11,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.20 : 12,807.30 = 7,962.20 : x
  2. Step 2: Convert to fraction form
    8,538.20/12,807.30 = 7,962.20/x
  3. Step 3: Cross multiply
    8,538.20x = 12,807.30 × 7,962.20
  4. Step 4: Simplify right side
    8,538.20x = 101,974,284.06
  5. Step 5: Solve for x
    x = 101,974,284.06/8,538.20
  6. Step 6: Final answer
    x = 11,943.30

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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.