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Finding the Fourth Proportional to 7,663.48, 11,495.24 and 2,116.88

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Solution

The fourth proportional to 7,663.48, 11,495.24 and 2,116.88 is: 3,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.48 : 11,495.24 = 2,116.88 : x
  2. Step 2: Convert to fraction form
    7,663.48/11,495.24 = 2,116.88/x
  3. Step 3: Cross multiply
    7,663.48x = 11,495.24 × 2,116.88
  4. Step 4: Simplify right side
    7,663.48x = 24,334,043.65
  5. Step 5: Solve for x
    x = 24,334,043.65/7,663.48
  6. Step 6: Final answer
    x = 3,175.33

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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.