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Finding the Fourth Proportional to 6,842.12, 10,263.17 and 1,647.99

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Solution

The fourth proportional to 6,842.12, 10,263.17 and 1,647.99 is: 2,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.12 : 10,263.17 = 1,647.99 : x
  2. Step 2: Convert to fraction form
    6,842.12/10,263.17 = 1,647.99/x
  3. Step 3: Cross multiply
    6,842.12x = 10,263.17 × 1,647.99
  4. Step 4: Simplify right side
    6,842.12x = 16,913,605.65
  5. Step 5: Solve for x
    x = 16,913,605.65/6,842.12
  6. Step 6: Final answer
    x = 2,471.99

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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.