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Finding the Fourth Proportional to 8,274.89, 11,419.35 and 4,548.89

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Solution

The fourth proportional to 8,274.89, 11,419.35 and 4,548.89 is: 6,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.89 : 11,419.35 = 4,548.89 : x
  2. Step 2: Convert to fraction form
    8,274.89/11,419.35 = 4,548.89/x
  3. Step 3: Cross multiply
    8,274.89x = 11,419.35 × 4,548.89
  4. Step 4: Simplify right side
    8,274.89x = 51,945,309.92
  5. Step 5: Solve for x
    x = 51,945,309.92/8,274.89
  6. Step 6: Final answer
    x = 6,277.47

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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.