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Finding the Fourth Proportional to 7,575.83, 11,346.13 and 7,313.04

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Solution

The fourth proportional to 7,575.83, 11,346.13 and 7,313.04 is: 10,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.83 : 11,346.13 = 7,313.04 : x
  2. Step 2: Convert to fraction form
    7,575.83/11,346.13 = 7,313.04/x
  3. Step 3: Cross multiply
    7,575.83x = 11,346.13 × 7,313.04
  4. Step 4: Simplify right side
    7,575.83x = 82,974,609.24
  5. Step 5: Solve for x
    x = 82,974,609.24/7,575.83
  6. Step 6: Final answer
    x = 10,952.54

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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.