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Finding the Fourth Proportional to 14,476.18, 19,977.48 and 8,102.71

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Solution

The fourth proportional to 14,476.18, 19,977.48 and 8,102.71 is: 11,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.18 : 19,977.48 = 8,102.71 : x
  2. Step 2: Convert to fraction form
    14,476.18/19,977.48 = 8,102.71/x
  3. Step 3: Cross multiply
    14,476.18x = 19,977.48 × 8,102.71
  4. Step 4: Simplify right side
    14,476.18x = 161,871,726.97
  5. Step 5: Solve for x
    x = 161,871,726.97/14,476.18
  6. Step 6: Final answer
    x = 11,181.94

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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.