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Finding the Fourth Proportional to 24,385.88, 36,573.14 and 6,857.40

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Solution

The fourth proportional to 24,385.88, 36,573.14 and 6,857.40 is: 10,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385.88 : 36,573.14 = 6,857.40 : x
  2. Step 2: Convert to fraction form
    24,385.88/36,573.14 = 6,857.40/x
  3. Step 3: Cross multiply
    24,385.88x = 36,573.14 × 6,857.40
  4. Step 4: Simplify right side
    24,385.88x = 250,796,650.24
  5. Step 5: Solve for x
    x = 250,796,650.24/24,385.88
  6. Step 6: Final answer
    x = 10,284.50

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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.