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Finding the Fourth Proportional to 12,330.94, 17,005.26 and 7,850.02

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Solution

The fourth proportional to 12,330.94, 17,005.26 and 7,850.02 is: 10,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.94 : 17,005.26 = 7,850.02 : x
  2. Step 2: Convert to fraction form
    12,330.94/17,005.26 = 7,850.02/x
  3. Step 3: Cross multiply
    12,330.94x = 17,005.26 × 7,850.02
  4. Step 4: Simplify right side
    12,330.94x = 133,491,631.11
  5. Step 5: Solve for x
    x = 133,491,631.11/12,330.94
  6. Step 6: Final answer
    x = 10,825.75

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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.