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Finding the Fourth Proportional to 11,009.82, 15,194.20 and 6,230.20

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Solution

The fourth proportional to 11,009.82, 15,194.20 and 6,230.20 is: 8,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.82 : 15,194.20 = 6,230.20 : x
  2. Step 2: Convert to fraction form
    11,009.82/15,194.20 = 6,230.20/x
  3. Step 3: Cross multiply
    11,009.82x = 15,194.20 × 6,230.20
  4. Step 4: Simplify right side
    11,009.82x = 94,662,904.84
  5. Step 5: Solve for x
    x = 94,662,904.84/11,009.82
  6. Step 6: Final answer
    x = 8,598.04

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Half scale
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Double scale
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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.