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Finding the Fourth Proportional to 14,677.56, 21,977.44 and 7,737.48

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Solution

The fourth proportional to 14,677.56, 21,977.44 and 7,737.48 is: 11,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.56 : 21,977.44 = 7,737.48 : x
  2. Step 2: Convert to fraction form
    14,677.56/21,977.44 = 7,737.48/x
  3. Step 3: Cross multiply
    14,677.56x = 21,977.44 × 7,737.48
  4. Step 4: Simplify right side
    14,677.56x = 170,050,002.45
  5. Step 5: Solve for x
    x = 170,050,002.45/14,677.56
  6. Step 6: Final answer
    x = 11,585.71

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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.