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Finding the Fourth Proportional to 16,141.15, 24,207.01 and 6,278.08

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Solution

The fourth proportional to 16,141.15, 24,207.01 and 6,278.08 is: 9,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.15 : 24,207.01 = 6,278.08 : x
  2. Step 2: Convert to fraction form
    16,141.15/24,207.01 = 6,278.08/x
  3. Step 3: Cross multiply
    16,141.15x = 24,207.01 × 6,278.08
  4. Step 4: Simplify right side
    16,141.15x = 151,973,545.34
  5. Step 5: Solve for x
    x = 151,973,545.34/16,141.15
  6. Step 6: Final answer
    x = 9,415.29

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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.