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Finding the Fourth Proportional to 8,492.79, 11,725.74 and 6,499.77

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Solution

The fourth proportional to 8,492.79, 11,725.74 and 6,499.77 is: 8,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.79 : 11,725.74 = 6,499.77 : x
  2. Step 2: Convert to fraction form
    8,492.79/11,725.74 = 6,499.77/x
  3. Step 3: Cross multiply
    8,492.79x = 11,725.74 × 6,499.77
  4. Step 4: Simplify right side
    8,492.79x = 76,214,613.08
  5. Step 5: Solve for x
    x = 76,214,613.08/8,492.79
  6. Step 6: Final answer
    x = 8,974.04

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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.