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Finding the Fourth Proportional to 6,526.56, 9,006.62 and 3,542.38

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Solution

The fourth proportional to 6,526.56, 9,006.62 and 3,542.38 is: 4,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.56 : 9,006.62 = 3,542.38 : x
  2. Step 2: Convert to fraction form
    6,526.56/9,006.62 = 3,542.38/x
  3. Step 3: Cross multiply
    6,526.56x = 9,006.62 × 3,542.38
  4. Step 4: Simplify right side
    6,526.56x = 31,904,870.56
  5. Step 5: Solve for x
    x = 31,904,870.56/6,526.56
  6. Step 6: Final answer
    x = 4,888.47

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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.