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Finding the Fourth Proportional to 8,267.76, 12,407.04 and 7,600.32

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Solution

The fourth proportional to 8,267.76, 12,407.04 and 7,600.32 is: 11,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.76 : 12,407.04 = 7,600.32 : x
  2. Step 2: Convert to fraction form
    8,267.76/12,407.04 = 7,600.32/x
  3. Step 3: Cross multiply
    8,267.76x = 12,407.04 × 7,600.32
  4. Step 4: Simplify right side
    8,267.76x = 94,297,474.25
  5. Step 5: Solve for x
    x = 94,297,474.25/8,267.76
  6. Step 6: Final answer
    x = 11,405.44

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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.