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Finding the Fourth Proportional to 9,745.32, 13,441.64 and 9,599.52

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Solution

The fourth proportional to 9,745.32, 13,441.64 and 9,599.52 is: 13,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.32 : 13,441.64 = 9,599.52 : x
  2. Step 2: Convert to fraction form
    9,745.32/13,441.64 = 9,599.52/x
  3. Step 3: Cross multiply
    9,745.32x = 13,441.64 × 9,599.52
  4. Step 4: Simplify right side
    9,745.32x = 129,033,218.81
  5. Step 5: Solve for x
    x = 129,033,218.81/9,745.32
  6. Step 6: Final answer
    x = 13,240.53

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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.