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Finding the Fourth Proportional to 24,605.82, 36,903.29 and 7,071.74

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Solution

The fourth proportional to 24,605.82, 36,903.29 and 7,071.74 is: 10,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.82 : 36,903.29 = 7,071.74 : x
  2. Step 2: Convert to fraction form
    24,605.82/36,903.29 = 7,071.74/x
  3. Step 3: Cross multiply
    24,605.82x = 36,903.29 × 7,071.74
  4. Step 4: Simplify right side
    24,605.82x = 260,970,472.02
  5. Step 5: Solve for x
    x = 260,970,472.02/24,605.82
  6. Step 6: Final answer
    x = 10,606.05

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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.