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Finding the Fourth Proportional to 21,577.76, 32,366.64 and 7,736.48

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Solution

The fourth proportional to 21,577.76, 32,366.64 and 7,736.48 is: 11,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.76 : 32,366.64 = 7,736.48 : x
  2. Step 2: Convert to fraction form
    21,577.76/32,366.64 = 7,736.48/x
  3. Step 3: Cross multiply
    21,577.76x = 32,366.64 × 7,736.48
  4. Step 4: Simplify right side
    21,577.76x = 250,403,863.03
  5. Step 5: Solve for x
    x = 250,403,863.03/21,577.76
  6. Step 6: Final answer
    x = 11,604.72

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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.