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Finding the Fourth Proportional to 11,830.92, 17,741.48 and 9,483.52

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Solution

The fourth proportional to 11,830.92, 17,741.48 and 9,483.52 is: 14,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.92 : 17,741.48 = 9,483.52 : x
  2. Step 2: Convert to fraction form
    11,830.92/17,741.48 = 9,483.52/x
  3. Step 3: Cross multiply
    11,830.92x = 17,741.48 × 9,483.52
  4. Step 4: Simplify right side
    11,830.92x = 168,251,680.41
  5. Step 5: Solve for x
    x = 168,251,680.41/11,830.92
  6. Step 6: Final answer
    x = 14,221.35

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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.