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Finding the Fourth Proportional to 6,739.76, 10,058.56 and 6,564.80

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Solution

The fourth proportional to 6,739.76, 10,058.56 and 6,564.80 is: 9,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.76 : 10,058.56 = 6,564.80 : x
  2. Step 2: Convert to fraction form
    6,739.76/10,058.56 = 6,564.80/x
  3. Step 3: Cross multiply
    6,739.76x = 10,058.56 × 6,564.80
  4. Step 4: Simplify right side
    6,739.76x = 66,032,434.69
  5. Step 5: Solve for x
    x = 66,032,434.69/6,739.76
  6. Step 6: Final answer
    x = 9,797.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.