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Finding the Fourth Proportional to 24,178.64, 36,264.85 and 6,649.84

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Solution

The fourth proportional to 24,178.64, 36,264.85 and 6,649.84 is: 9,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.64 : 36,264.85 = 6,649.84 : x
  2. Step 2: Convert to fraction form
    24,178.64/36,264.85 = 6,649.84/x
  3. Step 3: Cross multiply
    24,178.64x = 36,264.85 × 6,649.84
  4. Step 4: Simplify right side
    24,178.64x = 241,155,450.12
  5. Step 5: Solve for x
    x = 241,155,450.12/24,178.64
  6. Step 6: Final answer
    x = 9,973.90

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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.