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Finding the Fourth Proportional to 10,492.92, 14,481.72 and 6,518.34

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Solution

The fourth proportional to 10,492.92, 14,481.72 and 6,518.34 is: 8,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.92 : 14,481.72 = 6,518.34 : x
  2. Step 2: Convert to fraction form
    10,492.92/14,481.72 = 6,518.34/x
  3. Step 3: Cross multiply
    10,492.92x = 14,481.72 × 6,518.34
  4. Step 4: Simplify right side
    10,492.92x = 94,396,774.74
  5. Step 5: Solve for x
    x = 94,396,774.74/10,492.92
  6. Step 6: Final answer
    x = 8,996.24

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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.