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Finding the Fourth Proportional to 9,850.17, 14,717.56 and 9,505.65

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Solution

The fourth proportional to 9,850.17, 14,717.56 and 9,505.65 is: 14,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.17 : 14,717.56 = 9,505.65 : x
  2. Step 2: Convert to fraction form
    9,850.17/14,717.56 = 9,505.65/x
  3. Step 3: Cross multiply
    9,850.17x = 14,717.56 × 9,505.65
  4. Step 4: Simplify right side
    9,850.17x = 139,899,974.21
  5. Step 5: Solve for x
    x = 139,899,974.21/9,850.17
  6. Step 6: Final answer
    x = 14,202.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.