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Finding the Fourth Proportional to 24,213.95, 36,323.00 and 6,683.78

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Solution

The fourth proportional to 24,213.95, 36,323.00 and 6,683.78 is: 10,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.95 : 36,323.00 = 6,683.78 : x
  2. Step 2: Convert to fraction form
    24,213.95/36,323.00 = 6,683.78/x
  3. Step 3: Cross multiply
    24,213.95x = 36,323.00 × 6,683.78
  4. Step 4: Simplify right side
    24,213.95x = 242,774,776.03
  5. Step 5: Solve for x
    x = 242,774,776.03/24,213.95
  6. Step 6: Final answer
    x = 10,026.24

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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.