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Finding the Fourth Proportional to 6,102.48, 8,421.84 and 3,448.92

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Solution

The fourth proportional to 6,102.48, 8,421.84 and 3,448.92 is: 4,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.48 : 8,421.84 = 3,448.92 : x
  2. Step 2: Convert to fraction form
    6,102.48/8,421.84 = 3,448.92/x
  3. Step 3: Cross multiply
    6,102.48x = 8,421.84 × 3,448.92
  4. Step 4: Simplify right side
    6,102.48x = 29,046,252.41
  5. Step 5: Solve for x
    x = 29,046,252.41/6,102.48
  6. Step 6: Final answer
    x = 4,759.75

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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.