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Finding the Fourth Proportional to 9,757.74, 13,466.34 and 5,566.26

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Solution

The fourth proportional to 9,757.74, 13,466.34 and 5,566.26 is: 7,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.74 : 13,466.34 = 5,566.26 : x
  2. Step 2: Convert to fraction form
    9,757.74/13,466.34 = 5,566.26/x
  3. Step 3: Cross multiply
    9,757.74x = 13,466.34 × 5,566.26
  4. Step 4: Simplify right side
    9,757.74x = 74,957,149.69
  5. Step 5: Solve for x
    x = 74,957,149.69/9,757.74
  6. Step 6: Final answer
    x = 7,681.81

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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.