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Finding the Fourth Proportional to 9,797.91, 14,749.19 and 8,441.52

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Solution

The fourth proportional to 9,797.91, 14,749.19 and 8,441.52 is: 12,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.91 : 14,749.19 = 8,441.52 : x
  2. Step 2: Convert to fraction form
    9,797.91/14,749.19 = 8,441.52/x
  3. Step 3: Cross multiply
    9,797.91x = 14,749.19 × 8,441.52
  4. Step 4: Simplify right side
    9,797.91x = 124,505,516.51
  5. Step 5: Solve for x
    x = 124,505,516.51/9,797.91
  6. Step 6: Final answer
    x = 12,707.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.