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Finding the Fourth Proportional to 9,162.65, 12,652.34 and 5,765.32

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Solution

The fourth proportional to 9,162.65, 12,652.34 and 5,765.32 is: 7,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.65 : 12,652.34 = 5,765.32 : x
  2. Step 2: Convert to fraction form
    9,162.65/12,652.34 = 5,765.32/x
  3. Step 3: Cross multiply
    9,162.65x = 12,652.34 × 5,765.32
  4. Step 4: Simplify right side
    9,162.65x = 72,944,788.85
  5. Step 5: Solve for x
    x = 72,944,788.85/9,162.65
  6. Step 6: Final answer
    x = 7,961.11

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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.