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Finding the Fourth Proportional to 6,536.16, 9,007.02 and 6,454.44

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Solution

The fourth proportional to 6,536.16, 9,007.02 and 6,454.44 is: 8,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.16 : 9,007.02 = 6,454.44 : x
  2. Step 2: Convert to fraction form
    6,536.16/9,007.02 = 6,454.44/x
  3. Step 3: Cross multiply
    6,536.16x = 9,007.02 × 6,454.44
  4. Step 4: Simplify right side
    6,536.16x = 58,135,270.17
  5. Step 5: Solve for x
    x = 58,135,270.17/6,536.16
  6. Step 6: Final answer
    x = 8,894.41

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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.