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Finding the Fourth Proportional to 9,153.76, 13,736.27 and 4,223.76

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Solution

The fourth proportional to 9,153.76, 13,736.27 and 4,223.76 is: 6,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.76 : 13,736.27 = 4,223.76 : x
  2. Step 2: Convert to fraction form
    9,153.76/13,736.27 = 4,223.76/x
  3. Step 3: Cross multiply
    9,153.76x = 13,736.27 × 4,223.76
  4. Step 4: Simplify right side
    9,153.76x = 58,018,720.33
  5. Step 5: Solve for x
    x = 58,018,720.33/9,153.76
  6. Step 6: Final answer
    x = 6,338.24

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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.