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Finding the Fourth Proportional to 6,307.96, 9,461.94 and 2,609.50

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Solution

The fourth proportional to 6,307.96, 9,461.94 and 2,609.50 is: 3,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.96 : 9,461.94 = 2,609.50 : x
  2. Step 2: Convert to fraction form
    6,307.96/9,461.94 = 2,609.50/x
  3. Step 3: Cross multiply
    6,307.96x = 9,461.94 × 2,609.50
  4. Step 4: Simplify right side
    6,307.96x = 24,690,932.43
  5. Step 5: Solve for x
    x = 24,690,932.43/6,307.96
  6. Step 6: Final answer
    x = 3,914.25

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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.