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Finding the Fourth Proportional to 9,745.18, 14,617.62 and 9,122.56

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Solution

The fourth proportional to 9,745.18, 14,617.62 and 9,122.56 is: 13,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.18 : 14,617.62 = 9,122.56 : x
  2. Step 2: Convert to fraction form
    9,745.18/14,617.62 = 9,122.56/x
  3. Step 3: Cross multiply
    9,745.18x = 14,617.62 × 9,122.56
  4. Step 4: Simplify right side
    9,745.18x = 133,350,115.51
  5. Step 5: Solve for x
    x = 133,350,115.51/9,745.18
  6. Step 6: Final answer
    x = 13,683.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.