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Finding the Fourth Proportional to 7,725.58, 10,661.74 and 4,367.17

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Solution

The fourth proportional to 7,725.58, 10,661.74 and 4,367.17 is: 6,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.58 : 10,661.74 = 4,367.17 : x
  2. Step 2: Convert to fraction form
    7,725.58/10,661.74 = 4,367.17/x
  3. Step 3: Cross multiply
    7,725.58x = 10,661.74 × 4,367.17
  4. Step 4: Simplify right side
    7,725.58x = 46,561,579.65
  5. Step 5: Solve for x
    x = 46,561,579.65/7,725.58
  6. Step 6: Final answer
    x = 6,026.94

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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.