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Finding the Fourth Proportional to 10,894.82, 16,335.20 and 4,658.90

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Solution

The fourth proportional to 10,894.82, 16,335.20 and 4,658.90 is: 6,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.82 : 16,335.20 = 4,658.90 : x
  2. Step 2: Convert to fraction form
    10,894.82/16,335.20 = 4,658.90/x
  3. Step 3: Cross multiply
    10,894.82x = 16,335.20 × 4,658.90
  4. Step 4: Simplify right side
    10,894.82x = 76,104,063.28
  5. Step 5: Solve for x
    x = 76,104,063.28/10,894.82
  6. Step 6: Final answer
    x = 6,985.34

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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.