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Finding the Fourth Proportional to 9,256.50, 13,884.75 and 2,331

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Solution

The fourth proportional to 9,256.50, 13,884.75 and 2,331 is: 3,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.50 : 13,884.75 = 2,331 : x
  2. Step 2: Convert to fraction form
    9,256.50/13,884.75 = 2,331/x
  3. Step 3: Cross multiply
    9,256.50x = 13,884.75 × 2,331
  4. Step 4: Simplify right side
    9,256.50x = 32,365,352.25
  5. Step 5: Solve for x
    x = 32,365,352.25/9,256.50
  6. Step 6: Final answer
    x = 3,496.50

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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.