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Finding the Fourth Proportional to 24,493.85, 36,737.12 and 7,852.15

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Solution

The fourth proportional to 24,493.85, 36,737.12 and 7,852.15 is: 11,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.85 : 36,737.12 = 7,852.15 : x
  2. Step 2: Convert to fraction form
    24,493.85/36,737.12 = 7,852.15/x
  3. Step 3: Cross multiply
    24,493.85x = 36,737.12 × 7,852.15
  4. Step 4: Simplify right side
    24,493.85x = 288,465,376.81
  5. Step 5: Solve for x
    x = 288,465,376.81/24,493.85
  6. Step 6: Final answer
    x = 11,777.06

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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.