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Finding the Fourth Proportional to 6,700.48, 9,244.64 and 3,867.84

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Solution

The fourth proportional to 6,700.48, 9,244.64 and 3,867.84 is: 5,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.48 : 9,244.64 = 3,867.84 : x
  2. Step 2: Convert to fraction form
    6,700.48/9,244.64 = 3,867.84/x
  3. Step 3: Cross multiply
    6,700.48x = 9,244.64 × 3,867.84
  4. Step 4: Simplify right side
    6,700.48x = 35,756,788.38
  5. Step 5: Solve for x
    x = 35,756,788.38/6,700.48
  6. Step 6: Final answer
    x = 5,336.45

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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.