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Finding the Fourth Proportional to 4,835.82, 7,253.74 and 1,549.14

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Solution

The fourth proportional to 4,835.82, 7,253.74 and 1,549.14 is: 2,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.82 : 7,253.74 = 1,549.14 : x
  2. Step 2: Convert to fraction form
    4,835.82/7,253.74 = 1,549.14/x
  3. Step 3: Cross multiply
    4,835.82x = 7,253.74 × 1,549.14
  4. Step 4: Simplify right side
    4,835.82x = 11,237,058.78
  5. Step 5: Solve for x
    x = 11,237,058.78/4,835.82
  6. Step 6: Final answer
    x = 2,323.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.