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Finding the Fourth Proportional to 11,930.90, 16,465.95 and 6,826.88

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Solution

The fourth proportional to 11,930.90, 16,465.95 and 6,826.88 is: 9,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.90 : 16,465.95 = 6,826.88 : x
  2. Step 2: Convert to fraction form
    11,930.90/16,465.95 = 6,826.88/x
  3. Step 3: Cross multiply
    11,930.90x = 16,465.95 × 6,826.88
  4. Step 4: Simplify right side
    11,930.90x = 112,411,105.90
  5. Step 5: Solve for x
    x = 112,411,105.90/11,930.90
  6. Step 6: Final answer
    x = 9,421.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.