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Finding the Fourth Proportional to 6,204.76, 9,307.14 and 5,811.10

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Solution

The fourth proportional to 6,204.76, 9,307.14 and 5,811.10 is: 8,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.76 : 9,307.14 = 5,811.10 : x
  2. Step 2: Convert to fraction form
    6,204.76/9,307.14 = 5,811.10/x
  3. Step 3: Cross multiply
    6,204.76x = 9,307.14 × 5,811.10
  4. Step 4: Simplify right side
    6,204.76x = 54,084,721.25
  5. Step 5: Solve for x
    x = 54,084,721.25/6,204.76
  6. Step 6: Final answer
    x = 8,716.65

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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.