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Finding the Fourth Proportional to 9,957.12, 13,737.78 and 5,764.56

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Solution

The fourth proportional to 9,957.12, 13,737.78 and 5,764.56 is: 7,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.12 : 13,737.78 = 5,764.56 : x
  2. Step 2: Convert to fraction form
    9,957.12/13,737.78 = 5,764.56/x
  3. Step 3: Cross multiply
    9,957.12x = 13,737.78 × 5,764.56
  4. Step 4: Simplify right side
    9,957.12x = 79,192,257.08
  5. Step 5: Solve for x
    x = 79,192,257.08/9,957.12
  6. Step 6: Final answer
    x = 7,953.33

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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.