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Finding the Fourth Proportional to 9,788.14, 13,507.73 and 5,311.93

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Solution

The fourth proportional to 9,788.14, 13,507.73 and 5,311.93 is: 7,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.14 : 13,507.73 = 5,311.93 : x
  2. Step 2: Convert to fraction form
    9,788.14/13,507.73 = 5,311.93/x
  3. Step 3: Cross multiply
    9,788.14x = 13,507.73 × 5,311.93
  4. Step 4: Simplify right side
    9,788.14x = 71,752,082.45
  5. Step 5: Solve for x
    x = 71,752,082.45/9,788.14
  6. Step 6: Final answer
    x = 7,330.51

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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.