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Finding the Fourth Proportional to 7,663.89, 11,492.16 and 3,502.65

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Solution

The fourth proportional to 7,663.89, 11,492.16 and 3,502.65 is: 5,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.89 : 11,492.16 = 3,502.65 : x
  2. Step 2: Convert to fraction form
    7,663.89/11,492.16 = 3,502.65/x
  3. Step 3: Cross multiply
    7,663.89x = 11,492.16 × 3,502.65
  4. Step 4: Simplify right side
    7,663.89x = 40,253,014.22
  5. Step 5: Solve for x
    x = 40,253,014.22/7,663.89
  6. Step 6: Final answer
    x = 5,252.30

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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.