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Finding the Fourth Proportional to 24,663.66, 36,991.82 and 9,077.64

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Solution

The fourth proportional to 24,663.66, 36,991.82 and 9,077.64 is: 13,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,663.66 : 36,991.82 = 9,077.64 : x
  2. Step 2: Convert to fraction form
    24,663.66/36,991.82 = 9,077.64/x
  3. Step 3: Cross multiply
    24,663.66x = 36,991.82 × 9,077.64
  4. Step 4: Simplify right side
    24,663.66x = 335,798,424.90
  5. Step 5: Solve for x
    x = 335,798,424.90/24,663.66
  6. Step 6: Final answer
    x = 13,615.11

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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.