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Finding the Fourth Proportional to 9,306.65, 12,832.67 and 6,784.31

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Solution

The fourth proportional to 9,306.65, 12,832.67 and 6,784.31 is: 9,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.65 : 12,832.67 = 6,784.31 : x
  2. Step 2: Convert to fraction form
    9,306.65/12,832.67 = 6,784.31/x
  3. Step 3: Cross multiply
    9,306.65x = 12,832.67 × 6,784.31
  4. Step 4: Simplify right side
    9,306.65x = 87,060,713.32
  5. Step 5: Solve for x
    x = 87,060,713.32/9,306.65
  6. Step 6: Final answer
    x = 9,354.68

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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.