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Finding the Fourth Proportional to 14,309.76, 21,463.68 and 4,947.84

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Solution

The fourth proportional to 14,309.76, 21,463.68 and 4,947.84 is: 7,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.76 : 21,463.68 = 4,947.84 : x
  2. Step 2: Convert to fraction form
    14,309.76/21,463.68 = 4,947.84/x
  3. Step 3: Cross multiply
    14,309.76x = 21,463.68 × 4,947.84
  4. Step 4: Simplify right side
    14,309.76x = 106,198,854.45
  5. Step 5: Solve for x
    x = 106,198,854.45/14,309.76
  6. Step 6: Final answer
    x = 7,421.43

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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.