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Finding the Fourth Proportional to 6,204.70, 9,307.05 and 5,232.70

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Solution

The fourth proportional to 6,204.70, 9,307.05 and 5,232.70 is: 7,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.70 : 9,307.05 = 5,232.70 : x
  2. Step 2: Convert to fraction form
    6,204.70/9,307.05 = 5,232.70/x
  3. Step 3: Cross multiply
    6,204.70x = 9,307.05 × 5,232.70
  4. Step 4: Simplify right side
    6,204.70x = 48,701,000.54
  5. Step 5: Solve for x
    x = 48,701,000.54/6,204.70
  6. Step 6: Final answer
    x = 7,849.05

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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.