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Finding the Fourth Proportional to 6,544.94, 9,032.25 and 3,750.98

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Solution

The fourth proportional to 6,544.94, 9,032.25 and 3,750.98 is: 5,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.94 : 9,032.25 = 3,750.98 : x
  2. Step 2: Convert to fraction form
    6,544.94/9,032.25 = 3,750.98/x
  3. Step 3: Cross multiply
    6,544.94x = 9,032.25 × 3,750.98
  4. Step 4: Simplify right side
    6,544.94x = 33,879,743.94
  5. Step 5: Solve for x
    x = 33,879,743.94/6,544.94
  6. Step 6: Final answer
    x = 5,176.48

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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.