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Finding the Fourth Proportional to 6,209.14, 9,313.68 and 5,897.68

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Solution

The fourth proportional to 6,209.14, 9,313.68 and 5,897.68 is: 8,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.14 : 9,313.68 = 5,897.68 : x
  2. Step 2: Convert to fraction form
    6,209.14/9,313.68 = 5,897.68/x
  3. Step 3: Cross multiply
    6,209.14x = 9,313.68 × 5,897.68
  4. Step 4: Simplify right side
    6,209.14x = 54,929,104.26
  5. Step 5: Solve for x
    x = 54,929,104.26/6,209.14
  6. Step 6: Final answer
    x = 8,846.49

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Half scale
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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.