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Finding the Fourth Proportional to 6,958.97, 9,595.64 and 5,362.05

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Solution

The fourth proportional to 6,958.97, 9,595.64 and 5,362.05 is: 7,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.97 : 9,595.64 = 5,362.05 : x
  2. Step 2: Convert to fraction form
    6,958.97/9,595.64 = 5,362.05/x
  3. Step 3: Cross multiply
    6,958.97x = 9,595.64 × 5,362.05
  4. Step 4: Simplify right side
    6,958.97x = 51,452,301.46
  5. Step 5: Solve for x
    x = 51,452,301.46/6,958.97
  6. Step 6: Final answer
    x = 7,393.67

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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.