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Finding the Fourth Proportional to 24,503.85, 36,751.38 and 6,492.20

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Solution

The fourth proportional to 24,503.85, 36,751.38 and 6,492.20 is: 9,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.85 : 36,751.38 = 6,492.20 : x
  2. Step 2: Convert to fraction form
    24,503.85/36,751.38 = 6,492.20/x
  3. Step 3: Cross multiply
    24,503.85x = 36,751.38 × 6,492.20
  4. Step 4: Simplify right side
    24,503.85x = 238,597,309.24
  5. Step 5: Solve for x
    x = 238,597,309.24/24,503.85
  6. Step 6: Final answer
    x = 9,737.14

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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.