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Finding the Fourth Proportional to 6,536.38, 9,016.64 and 4,017.58

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Solution

The fourth proportional to 6,536.38, 9,016.64 and 4,017.58 is: 5,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.38 : 9,016.64 = 4,017.58 : x
  2. Step 2: Convert to fraction form
    6,536.38/9,016.64 = 4,017.58/x
  3. Step 3: Cross multiply
    6,536.38x = 9,016.64 × 4,017.58
  4. Step 4: Simplify right side
    6,536.38x = 36,225,072.53
  5. Step 5: Solve for x
    x = 36,225,072.53/6,536.38
  6. Step 6: Final answer
    x = 5,542.07

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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.