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Finding the Fourth Proportional to 8,536.26, 12,800.31 and 4,378.26

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Solution

The fourth proportional to 8,536.26, 12,800.31 and 4,378.26 is: 6,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.26 : 12,800.31 = 4,378.26 : x
  2. Step 2: Convert to fraction form
    8,536.26/12,800.31 = 4,378.26/x
  3. Step 3: Cross multiply
    8,536.26x = 12,800.31 × 4,378.26
  4. Step 4: Simplify right side
    8,536.26x = 56,043,085.26
  5. Step 5: Solve for x
    x = 56,043,085.26/8,536.26
  6. Step 6: Final answer
    x = 6,565.30

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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.