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Finding the Fourth Proportional to 6,631.96, 9,149.83 and 4,113.16

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Solution

The fourth proportional to 6,631.96, 9,149.83 and 4,113.16 is: 5,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.96 : 9,149.83 = 4,113.16 : x
  2. Step 2: Convert to fraction form
    6,631.96/9,149.83 = 4,113.16/x
  3. Step 3: Cross multiply
    6,631.96x = 9,149.83 × 4,113.16
  4. Step 4: Simplify right side
    6,631.96x = 37,634,733.07
  5. Step 5: Solve for x
    x = 37,634,733.07/6,631.96
  6. Step 6: Final answer
    x = 5,674.75

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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.