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Finding the Fourth Proportional to 6,548.93, 9,036.92 and 3,716.42

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Solution

The fourth proportional to 6,548.93, 9,036.92 and 3,716.42 is: 5,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.93 : 9,036.92 = 3,716.42 : x
  2. Step 2: Convert to fraction form
    6,548.93/9,036.92 = 3,716.42/x
  3. Step 3: Cross multiply
    6,548.93x = 9,036.92 × 3,716.42
  4. Step 4: Simplify right side
    6,548.93x = 33,584,995.07
  5. Step 5: Solve for x
    x = 33,584,995.07/6,548.93
  6. Step 6: Final answer
    x = 5,128.32

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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.