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Finding the Fourth Proportional to 11,752.95, 17,644.46 and 10,097.67

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Solution

The fourth proportional to 11,752.95, 17,644.46 and 10,097.67 is: 15,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.95 : 17,644.46 = 10,097.67 : x
  2. Step 2: Convert to fraction form
    11,752.95/17,644.46 = 10,097.67/x
  3. Step 3: Cross multiply
    11,752.95x = 17,644.46 × 10,097.67
  4. Step 4: Simplify right side
    11,752.95x = 178,167,883.92
  5. Step 5: Solve for x
    x = 178,167,883.92/11,752.95
  6. Step 6: Final answer
    x = 15,159.42

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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.