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Finding the Fourth Proportional to 14,822.10, 20,446.53 and 9,158.10

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Solution

The fourth proportional to 14,822.10, 20,446.53 and 9,158.10 is: 12,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.10 : 20,446.53 = 9,158.10 : x
  2. Step 2: Convert to fraction form
    14,822.10/20,446.53 = 9,158.10/x
  3. Step 3: Cross multiply
    14,822.10x = 20,446.53 × 9,158.10
  4. Step 4: Simplify right side
    14,822.10x = 187,251,366.39
  5. Step 5: Solve for x
    x = 187,251,366.39/14,822.10
  6. Step 6: Final answer
    x = 12,633.25

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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.