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Finding the Fourth Proportional to 8,536.54, 11,773.14 and 6,417.20

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Solution

The fourth proportional to 8,536.54, 11,773.14 and 6,417.20 is: 8,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.54 : 11,773.14 = 6,417.20 : x
  2. Step 2: Convert to fraction form
    8,536.54/11,773.14 = 6,417.20/x
  3. Step 3: Cross multiply
    8,536.54x = 11,773.14 × 6,417.20
  4. Step 4: Simplify right side
    8,536.54x = 75,550,594.01
  5. Step 5: Solve for x
    x = 75,550,594.01/8,536.54
  6. Step 6: Final answer
    x = 8,850.26

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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.