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Finding the Fourth Proportional to 6,113.94, 9,167.46 and 1,952.97

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Solution

The fourth proportional to 6,113.94, 9,167.46 and 1,952.97 is: 2,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.94 : 9,167.46 = 1,952.97 : x
  2. Step 2: Convert to fraction form
    6,113.94/9,167.46 = 1,952.97/x
  3. Step 3: Cross multiply
    6,113.94x = 9,167.46 × 1,952.97
  4. Step 4: Simplify right side
    6,113.94x = 17,903,774.36
  5. Step 5: Solve for x
    x = 17,903,774.36/6,113.94
  6. Step 6: Final answer
    x = 2,928.35

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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.