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Finding the Fourth Proportional to 23,230.16, 34,850.64 and 7,647.20

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Solution

The fourth proportional to 23,230.16, 34,850.64 and 7,647.20 is: 11,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.16 : 34,850.64 = 7,647.20 : x
  2. Step 2: Convert to fraction form
    23,230.16/34,850.64 = 7,647.20/x
  3. Step 3: Cross multiply
    23,230.16x = 34,850.64 × 7,647.20
  4. Step 4: Simplify right side
    23,230.16x = 266,509,814.21
  5. Step 5: Solve for x
    x = 266,509,814.21/23,230.16
  6. Step 6: Final answer
    x = 11,472.58

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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.