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Finding the Fourth Proportional to 11,874.42, 16,418.01 and 10,398.19

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Solution

The fourth proportional to 11,874.42, 16,418.01 and 10,398.19 is: 14,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.42 : 16,418.01 = 10,398.19 : x
  2. Step 2: Convert to fraction form
    11,874.42/16,418.01 = 10,398.19/x
  3. Step 3: Cross multiply
    11,874.42x = 16,418.01 × 10,398.19
  4. Step 4: Simplify right side
    11,874.42x = 170,717,587.40
  5. Step 5: Solve for x
    x = 170,717,587.40/11,874.42
  6. Step 6: Final answer
    x = 14,376.92

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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.