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Finding the Fourth Proportional to 7,385.42, 10,192.14 and 4,028.42

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Solution

The fourth proportional to 7,385.42, 10,192.14 and 4,028.42 is: 5,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.42 : 10,192.14 = 4,028.42 : x
  2. Step 2: Convert to fraction form
    7,385.42/10,192.14 = 4,028.42/x
  3. Step 3: Cross multiply
    7,385.42x = 10,192.14 × 4,028.42
  4. Step 4: Simplify right side
    7,385.42x = 41,058,246.10
  5. Step 5: Solve for x
    x = 41,058,246.10/7,385.42
  6. Step 6: Final answer
    x = 5,559.36

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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.