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Finding the Fourth Proportional to 9,981, 13,773.51 and 5,504.76

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Solution

The fourth proportional to 9,981, 13,773.51 and 5,504.76 is: 7,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981 : 13,773.51 = 5,504.76 : x
  2. Step 2: Convert to fraction form
    9,981/13,773.51 = 5,504.76/x
  3. Step 3: Cross multiply
    9,981x = 13,773.51 × 5,504.76
  4. Step 4: Simplify right side
    9,981x = 75,819,866.91
  5. Step 5: Solve for x
    x = 75,819,866.91/9,981
  6. Step 6: Final answer
    x = 7,596.42

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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.