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Finding the Fourth Proportional to 6,377.49, 8,801.97 and 5,313.56

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Solution

The fourth proportional to 6,377.49, 8,801.97 and 5,313.56 is: 7,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.49 : 8,801.97 = 5,313.56 : x
  2. Step 2: Convert to fraction form
    6,377.49/8,801.97 = 5,313.56/x
  3. Step 3: Cross multiply
    6,377.49x = 8,801.97 × 5,313.56
  4. Step 4: Simplify right side
    6,377.49x = 46,769,795.71
  5. Step 5: Solve for x
    x = 46,769,795.71/6,377.49
  6. Step 6: Final answer
    x = 7,333.57

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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.