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Finding the Fourth Proportional to 9,745.74, 13,455.27 and 6,760.53

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Solution

The fourth proportional to 9,745.74, 13,455.27 and 6,760.53 is: 9,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.74 : 13,455.27 = 6,760.53 : x
  2. Step 2: Convert to fraction form
    9,745.74/13,455.27 = 6,760.53/x
  3. Step 3: Cross multiply
    9,745.74x = 13,455.27 × 6,760.53
  4. Step 4: Simplify right side
    9,745.74x = 90,964,756.49
  5. Step 5: Solve for x
    x = 90,964,756.49/9,745.74
  6. Step 6: Final answer
    x = 9,333.80

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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.