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Finding the Fourth Proportional to 8,199.64, 12,299.06 and 2,356.20

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Solution

The fourth proportional to 8,199.64, 12,299.06 and 2,356.20 is: 3,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.64 : 12,299.06 = 2,356.20 : x
  2. Step 2: Convert to fraction form
    8,199.64/12,299.06 = 2,356.20/x
  3. Step 3: Cross multiply
    8,199.64x = 12,299.06 × 2,356.20
  4. Step 4: Simplify right side
    8,199.64x = 28,979,045.17
  5. Step 5: Solve for x
    x = 28,979,045.17/8,199.64
  6. Step 6: Final answer
    x = 3,534.19

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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.