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Finding the Fourth Proportional to 7,062, 9,738.82 and 4,228.88

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Solution

The fourth proportional to 7,062, 9,738.82 and 4,228.88 is: 5,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062 : 9,738.82 = 4,228.88 : x
  2. Step 2: Convert to fraction form
    7,062/9,738.82 = 4,228.88/x
  3. Step 3: Cross multiply
    7,062x = 9,738.82 × 4,228.88
  4. Step 4: Simplify right side
    7,062x = 41,184,301.12
  5. Step 5: Solve for x
    x = 41,184,301.12/7,062
  6. Step 6: Final answer
    x = 5,831.82

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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.