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Finding the Fourth Proportional to 14,648.50, 20,214.86 and 8,188.13

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Solution

The fourth proportional to 14,648.50, 20,214.86 and 8,188.13 is: 11,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.50 : 20,214.86 = 8,188.13 : x
  2. Step 2: Convert to fraction form
    14,648.50/20,214.86 = 8,188.13/x
  3. Step 3: Cross multiply
    14,648.50x = 20,214.86 × 8,188.13
  4. Step 4: Simplify right side
    14,648.50x = 165,521,901.61
  5. Step 5: Solve for x
    x = 165,521,901.61/14,648.50
  6. Step 6: Final answer
    x = 11,299.58

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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.