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Finding the Fourth Proportional to 9,275.22, 13,906.22 and 4,342.16

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Solution

The fourth proportional to 9,275.22, 13,906.22 and 4,342.16 is: 6,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.22 : 13,906.22 = 4,342.16 : x
  2. Step 2: Convert to fraction form
    9,275.22/13,906.22 = 4,342.16/x
  3. Step 3: Cross multiply
    9,275.22x = 13,906.22 × 4,342.16
  4. Step 4: Simplify right side
    9,275.22x = 60,383,032.24
  5. Step 5: Solve for x
    x = 60,383,032.24/9,275.22
  6. Step 6: Final answer
    x = 6,510.15

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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.