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Finding the Fourth Proportional to 8,492.92, 12,706.26 and 7,507.96

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Solution

The fourth proportional to 8,492.92, 12,706.26 and 7,507.96 is: 11,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.92 : 12,706.26 = 7,507.96 : x
  2. Step 2: Convert to fraction form
    8,492.92/12,706.26 = 7,507.96/x
  3. Step 3: Cross multiply
    8,492.92x = 12,706.26 × 7,507.96
  4. Step 4: Simplify right side
    8,492.92x = 95,398,091.83
  5. Step 5: Solve for x
    x = 95,398,091.83/8,492.92
  6. Step 6: Final answer
    x = 11,232.66

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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.