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Finding the Fourth Proportional to 7,174.53, 9,897.53 and 4,190.49

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Solution

The fourth proportional to 7,174.53, 9,897.53 and 4,190.49 is: 5,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.53 : 9,897.53 = 4,190.49 : x
  2. Step 2: Convert to fraction form
    7,174.53/9,897.53 = 4,190.49/x
  3. Step 3: Cross multiply
    7,174.53x = 9,897.53 × 4,190.49
  4. Step 4: Simplify right side
    7,174.53x = 41,475,479.54
  5. Step 5: Solve for x
    x = 41,475,479.54/7,174.53
  6. Step 6: Final answer
    x = 5,780.93

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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.