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Finding the Fourth Proportional to 8,842.96, 13,263.84 and 6,382.24

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Solution

The fourth proportional to 8,842.96, 13,263.84 and 6,382.24 is: 9,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.96 : 13,263.84 = 6,382.24 : x
  2. Step 2: Convert to fraction form
    8,842.96/13,263.84 = 6,382.24/x
  3. Step 3: Cross multiply
    8,842.96x = 13,263.84 × 6,382.24
  4. Step 4: Simplify right side
    8,842.96x = 84,653,010.20
  5. Step 5: Solve for x
    x = 84,653,010.20/8,842.96
  6. Step 6: Final answer
    x = 9,572.93

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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.