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Finding the Fourth Proportional to 14,476.31, 19,978.19 and 8,102.78

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Solution

The fourth proportional to 14,476.31, 19,978.19 and 8,102.78 is: 11,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.31 : 19,978.19 = 8,102.78 : x
  2. Step 2: Convert to fraction form
    14,476.31/19,978.19 = 8,102.78/x
  3. Step 3: Cross multiply
    14,476.31x = 19,978.19 × 8,102.78
  4. Step 4: Simplify right side
    14,476.31x = 161,878,737.96
  5. Step 5: Solve for x
    x = 161,878,737.96/14,476.31
  6. Step 6: Final answer
    x = 11,182.32

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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.