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Finding the Fourth Proportional to 9,954.91, 13,737.47 and 5,478.66

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Solution

The fourth proportional to 9,954.91, 13,737.47 and 5,478.66 is: 7,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.91 : 13,737.47 = 5,478.66 : x
  2. Step 2: Convert to fraction form
    9,954.91/13,737.47 = 5,478.66/x
  3. Step 3: Cross multiply
    9,954.91x = 13,737.47 × 5,478.66
  4. Step 4: Simplify right side
    9,954.91x = 75,262,927.39
  5. Step 5: Solve for x
    x = 75,262,927.39/9,954.91
  6. Step 6: Final answer
    x = 7,560.38

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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.