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Finding the Fourth Proportional to 14,482.75, 19,986.06 and 8,195.14

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Solution

The fourth proportional to 14,482.75, 19,986.06 and 8,195.14 is: 11,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482.75 : 19,986.06 = 8,195.14 : x
  2. Step 2: Convert to fraction form
    14,482.75/19,986.06 = 8,195.14/x
  3. Step 3: Cross multiply
    14,482.75x = 19,986.06 × 8,195.14
  4. Step 4: Simplify right side
    14,482.75x = 163,788,559.75
  5. Step 5: Solve for x
    x = 163,788,559.75/14,482.75
  6. Step 6: Final answer
    x = 11,309.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.