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Finding the Fourth Proportional to 6,561.57, 9,054.62 and 3,728.55

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Solution

The fourth proportional to 6,561.57, 9,054.62 and 3,728.55 is: 5,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.57 : 9,054.62 = 3,728.55 : x
  2. Step 2: Convert to fraction form
    6,561.57/9,054.62 = 3,728.55/x
  3. Step 3: Cross multiply
    6,561.57x = 9,054.62 × 3,728.55
  4. Step 4: Simplify right side
    6,561.57x = 33,760,603.40
  5. Step 5: Solve for x
    x = 33,760,603.40/6,561.57
  6. Step 6: Final answer
    x = 5,145.20

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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.