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Finding the Fourth Proportional to 10,842.40, 16,231.92 and 9,804.79

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Solution

The fourth proportional to 10,842.40, 16,231.92 and 9,804.79 is: 14,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.40 : 16,231.92 = 9,804.79 : x
  2. Step 2: Convert to fraction form
    10,842.40/16,231.92 = 9,804.79/x
  3. Step 3: Cross multiply
    10,842.40x = 16,231.92 × 9,804.79
  4. Step 4: Simplify right side
    10,842.40x = 159,150,566.90
  5. Step 5: Solve for x
    x = 159,150,566.90/10,842.40
  6. Step 6: Final answer
    x = 14,678.54

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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.