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Finding the Fourth Proportional to 9,955.05, 13,735.49 and 6,414

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Solution

The fourth proportional to 9,955.05, 13,735.49 and 6,414 is: 8,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.05 : 13,735.49 = 6,414 : x
  2. Step 2: Convert to fraction form
    9,955.05/13,735.49 = 6,414/x
  3. Step 3: Cross multiply
    9,955.05x = 13,735.49 × 6,414
  4. Step 4: Simplify right side
    9,955.05x = 88,099,400.79
  5. Step 5: Solve for x
    x = 88,099,400.79/9,955.05
  6. Step 6: Final answer
    x = 8,849.72

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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.