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Finding the Fourth Proportional to 6,842.08, 10,263.10 and 1,647.94

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Solution

The fourth proportional to 6,842.08, 10,263.10 and 1,647.94 is: 2,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.08 : 10,263.10 = 1,647.94 : x
  2. Step 2: Convert to fraction form
    6,842.08/10,263.10 = 1,647.94/x
  3. Step 3: Cross multiply
    6,842.08x = 10,263.10 × 1,647.94
  4. Step 4: Simplify right side
    6,842.08x = 16,912,973.01
  5. Step 5: Solve for x
    x = 16,912,973.01/6,842.08
  6. Step 6: Final answer
    x = 2,471.91

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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.