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Finding the Fourth Proportional to 10,536.88, 14,522.88 and 8,174.56

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Solution

The fourth proportional to 10,536.88, 14,522.88 and 8,174.56 is: 11,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.88 : 14,522.88 = 8,174.56 : x
  2. Step 2: Convert to fraction form
    10,536.88/14,522.88 = 8,174.56/x
  3. Step 3: Cross multiply
    10,536.88x = 14,522.88 × 8,174.56
  4. Step 4: Simplify right side
    10,536.88x = 118,718,153.93
  5. Step 5: Solve for x
    x = 118,718,153.93/10,536.88
  6. Step 6: Final answer
    x = 11,266.92

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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.