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Finding the Fourth Proportional to 12,191.96, 16,822.86 and 7,411.08

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Solution

The fourth proportional to 12,191.96, 16,822.86 and 7,411.08 is: 10,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.96 : 16,822.86 = 7,411.08 : x
  2. Step 2: Convert to fraction form
    12,191.96/16,822.86 = 7,411.08/x
  3. Step 3: Cross multiply
    12,191.96x = 16,822.86 × 7,411.08
  4. Step 4: Simplify right side
    12,191.96x = 124,675,561.29
  5. Step 5: Solve for x
    x = 124,675,561.29/12,191.96
  6. Step 6: Final answer
    x = 10,226.05

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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.