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Finding the Fourth Proportional to 6,561.07, 9,858.62 and 4,932.97

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Solution

The fourth proportional to 6,561.07, 9,858.62 and 4,932.97 is: 7,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.07 : 9,858.62 = 4,932.97 : x
  2. Step 2: Convert to fraction form
    6,561.07/9,858.62 = 4,932.97/x
  3. Step 3: Cross multiply
    6,561.07x = 9,858.62 × 4,932.97
  4. Step 4: Simplify right side
    6,561.07x = 48,632,276.70
  5. Step 5: Solve for x
    x = 48,632,276.70/6,561.07
  6. Step 6: Final answer
    x = 7,412.25

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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.