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Finding the Fourth Proportional to 24,486.02, 36,731.80 and 7,840.22

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Solution

The fourth proportional to 24,486.02, 36,731.80 and 7,840.22 is: 11,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,486.02 : 36,731.80 = 7,840.22 : x
  2. Step 2: Convert to fraction form
    24,486.02/36,731.80 = 7,840.22/x
  3. Step 3: Cross multiply
    24,486.02x = 36,731.80 × 7,840.22
  4. Step 4: Simplify right side
    24,486.02x = 287,985,393.00
  5. Step 5: Solve for x
    x = 287,985,393.00/24,486.02
  6. Step 6: Final answer
    x = 11,761.22

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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.