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Finding the Fourth Proportional to 7,048.24, 9,726 and 4,062.07

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Solution

The fourth proportional to 7,048.24, 9,726 and 4,062.07 is: 5,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.24 : 9,726 = 4,062.07 : x
  2. Step 2: Convert to fraction form
    7,048.24/9,726 = 4,062.07/x
  3. Step 3: Cross multiply
    7,048.24x = 9,726 × 4,062.07
  4. Step 4: Simplify right side
    7,048.24x = 39,507,692.82
  5. Step 5: Solve for x
    x = 39,507,692.82/7,048.24
  6. Step 6: Final answer
    x = 5,605.33

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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.