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Finding the Fourth Proportional to 9,201.25, 12,696.95 and 5,568.66

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Solution

The fourth proportional to 9,201.25, 12,696.95 and 5,568.66 is: 7,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.25 : 12,696.95 = 5,568.66 : x
  2. Step 2: Convert to fraction form
    9,201.25/12,696.95 = 5,568.66/x
  3. Step 3: Cross multiply
    9,201.25x = 12,696.95 × 5,568.66
  4. Step 4: Simplify right side
    9,201.25x = 70,705,011.51
  5. Step 5: Solve for x
    x = 70,705,011.51/9,201.25
  6. Step 6: Final answer
    x = 7,684.28

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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.