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Finding the Fourth Proportional to 14,115.78, 19,479.02 and 7,827.75

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Solution

The fourth proportional to 14,115.78, 19,479.02 and 7,827.75 is: 10,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.78 : 19,479.02 = 7,827.75 : x
  2. Step 2: Convert to fraction form
    14,115.78/19,479.02 = 7,827.75/x
  3. Step 3: Cross multiply
    14,115.78x = 19,479.02 × 7,827.75
  4. Step 4: Simplify right side
    14,115.78x = 152,476,859.67
  5. Step 5: Solve for x
    x = 152,476,859.67/14,115.78
  6. Step 6: Final answer
    x = 10,801.87

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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.