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Finding the Fourth Proportional to 24,713.82, 37,071.99 and 7,185.06

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Solution

The fourth proportional to 24,713.82, 37,071.99 and 7,185.06 is: 10,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.82 : 37,071.99 = 7,185.06 : x
  2. Step 2: Convert to fraction form
    24,713.82/37,071.99 = 7,185.06/x
  3. Step 3: Cross multiply
    24,713.82x = 37,071.99 × 7,185.06
  4. Step 4: Simplify right side
    24,713.82x = 266,364,472.47
  5. Step 5: Solve for x
    x = 266,364,472.47/24,713.82
  6. Step 6: Final answer
    x = 10,777.96

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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.