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Finding the Fourth Proportional to 6,975.05, 9,617.43 and 5,203.58

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Solution

The fourth proportional to 6,975.05, 9,617.43 and 5,203.58 is: 7,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.05 : 9,617.43 = 5,203.58 : x
  2. Step 2: Convert to fraction form
    6,975.05/9,617.43 = 5,203.58/x
  3. Step 3: Cross multiply
    6,975.05x = 9,617.43 × 5,203.58
  4. Step 4: Simplify right side
    6,975.05x = 50,045,037.83
  5. Step 5: Solve for x
    x = 50,045,037.83/6,975.05
  6. Step 6: Final answer
    x = 7,174.87

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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.