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Finding the Fourth Proportional to 13,876.95, 19,150.90 and 8,214.95

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Solution

The fourth proportional to 13,876.95, 19,150.90 and 8,214.95 is: 11,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.95 : 19,150.90 = 8,214.95 : x
  2. Step 2: Convert to fraction form
    13,876.95/19,150.90 = 8,214.95/x
  3. Step 3: Cross multiply
    13,876.95x = 19,150.90 × 8,214.95
  4. Step 4: Simplify right side
    13,876.95x = 157,323,713.29
  5. Step 5: Solve for x
    x = 157,323,713.29/13,876.95
  6. Step 6: Final answer
    x = 11,337.05

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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.