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Finding the Fourth Proportional to 7,765.48, 11,667.68 and 7,298.92

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Solution

The fourth proportional to 7,765.48, 11,667.68 and 7,298.92 is: 10,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.48 : 11,667.68 = 7,298.92 : x
  2. Step 2: Convert to fraction form
    7,765.48/11,667.68 = 7,298.92/x
  3. Step 3: Cross multiply
    7,765.48x = 11,667.68 × 7,298.92
  4. Step 4: Simplify right side
    7,765.48x = 85,161,462.91
  5. Step 5: Solve for x
    x = 85,161,462.91/7,765.48
  6. Step 6: Final answer
    x = 10,966.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.