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Finding the Fourth Proportional to 13,784.76, 20,677.95 and 4,550.76

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Solution

The fourth proportional to 13,784.76, 20,677.95 and 4,550.76 is: 6,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.76 : 20,677.95 = 4,550.76 : x
  2. Step 2: Convert to fraction form
    13,784.76/20,677.95 = 4,550.76/x
  3. Step 3: Cross multiply
    13,784.76x = 20,677.95 × 4,550.76
  4. Step 4: Simplify right side
    13,784.76x = 94,100,387.74
  5. Step 5: Solve for x
    x = 94,100,387.74/13,784.76
  6. Step 6: Final answer
    x = 6,826.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.