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Finding the Fourth Proportional to 14,414.08, 21,621.12 and 6,206.08

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Solution

The fourth proportional to 14,414.08, 21,621.12 and 6,206.08 is: 9,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.08 : 21,621.12 = 6,206.08 : x
  2. Step 2: Convert to fraction form
    14,414.08/21,621.12 = 6,206.08/x
  3. Step 3: Cross multiply
    14,414.08x = 21,621.12 × 6,206.08
  4. Step 4: Simplify right side
    14,414.08x = 134,182,400.41
  5. Step 5: Solve for x
    x = 134,182,400.41/14,414.08
  6. Step 6: Final answer
    x = 9,309.12

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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.