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Finding the Fourth Proportional to 24,311.16, 36,466.98 and 6,782.28

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Solution

The fourth proportional to 24,311.16, 36,466.98 and 6,782.28 is: 10,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.16 : 36,466.98 = 6,782.28 : x
  2. Step 2: Convert to fraction form
    24,311.16/36,466.98 = 6,782.28/x
  3. Step 3: Cross multiply
    24,311.16x = 36,466.98 × 6,782.28
  4. Step 4: Simplify right side
    24,311.16x = 247,329,269.11
  5. Step 5: Solve for x
    x = 247,329,269.11/24,311.16
  6. Step 6: Final answer
    x = 10,173.49

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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.