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Finding the Fourth Proportional to 24,738.93, 37,109.98 and 8,726.50

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Solution

The fourth proportional to 24,738.93, 37,109.98 and 8,726.50 is: 13,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.93 : 37,109.98 = 8,726.50 : x
  2. Step 2: Convert to fraction form
    24,738.93/37,109.98 = 8,726.50/x
  3. Step 3: Cross multiply
    24,738.93x = 37,109.98 × 8,726.50
  4. Step 4: Simplify right side
    24,738.93x = 323,840,297.77
  5. Step 5: Solve for x
    x = 323,840,297.77/24,738.93
  6. Step 6: Final answer
    x = 13,090.31

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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.