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Finding the Fourth Proportional to 6,997.65, 9,647.08 and 5,004.73

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Solution

The fourth proportional to 6,997.65, 9,647.08 and 5,004.73 is: 6,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.65 : 9,647.08 = 5,004.73 : x
  2. Step 2: Convert to fraction form
    6,997.65/9,647.08 = 5,004.73/x
  3. Step 3: Cross multiply
    6,997.65x = 9,647.08 × 5,004.73
  4. Step 4: Simplify right side
    6,997.65x = 48,281,030.69
  5. Step 5: Solve for x
    x = 48,281,030.69/6,997.65
  6. Step 6: Final answer
    x = 6,899.61

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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.