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Finding the Fourth Proportional to 6,102.84, 9,154.26 and 3,506.52

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Solution

The fourth proportional to 6,102.84, 9,154.26 and 3,506.52 is: 5,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.84 : 9,154.26 = 3,506.52 : x
  2. Step 2: Convert to fraction form
    6,102.84/9,154.26 = 3,506.52/x
  3. Step 3: Cross multiply
    6,102.84x = 9,154.26 × 3,506.52
  4. Step 4: Simplify right side
    6,102.84x = 32,099,595.78
  5. Step 5: Solve for x
    x = 32,099,595.78/6,102.84
  6. Step 6: Final answer
    x = 5,259.78

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Double scale
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Similar ratio
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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.