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Finding the Fourth Proportional to 6,537.38, 9,018.02 and 4,018.58

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Solution

The fourth proportional to 6,537.38, 9,018.02 and 4,018.58 is: 5,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.38 : 9,018.02 = 4,018.58 : x
  2. Step 2: Convert to fraction form
    6,537.38/9,018.02 = 4,018.58/x
  3. Step 3: Cross multiply
    6,537.38x = 9,018.02 × 4,018.58
  4. Step 4: Simplify right side
    6,537.38x = 36,239,634.81
  5. Step 5: Solve for x
    x = 36,239,634.81/6,537.38
  6. Step 6: Final answer
    x = 5,543.45

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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.