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Finding the Fourth Proportional to 9,601.26, 13,251 and 5,410.32

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Solution

The fourth proportional to 9,601.26, 13,251 and 5,410.32 is: 7,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.26 : 13,251 = 5,410.32 : x
  2. Step 2: Convert to fraction form
    9,601.26/13,251 = 5,410.32/x
  3. Step 3: Cross multiply
    9,601.26x = 13,251 × 5,410.32
  4. Step 4: Simplify right side
    9,601.26x = 71,692,150.32
  5. Step 5: Solve for x
    x = 71,692,150.32/9,601.26
  6. Step 6: Final answer
    x = 7,466.95

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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.