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Finding the Fourth Proportional to 11,830.68, 16,326.36 and 7,354.44

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Solution

The fourth proportional to 11,830.68, 16,326.36 and 7,354.44 is: 10,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.68 : 16,326.36 = 7,354.44 : x
  2. Step 2: Convert to fraction form
    11,830.68/16,326.36 = 7,354.44/x
  3. Step 3: Cross multiply
    11,830.68x = 16,326.36 × 7,354.44
  4. Step 4: Simplify right side
    11,830.68x = 120,071,235.04
  5. Step 5: Solve for x
    x = 120,071,235.04/11,830.68
  6. Step 6: Final answer
    x = 10,149.14

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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.