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Finding the Fourth Proportional to 6,209.70, 9,314.55 and 4,241.40

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Solution

The fourth proportional to 6,209.70, 9,314.55 and 4,241.40 is: 6,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.70 : 9,314.55 = 4,241.40 : x
  2. Step 2: Convert to fraction form
    6,209.70/9,314.55 = 4,241.40/x
  3. Step 3: Cross multiply
    6,209.70x = 9,314.55 × 4,241.40
  4. Step 4: Simplify right side
    6,209.70x = 39,506,732.37
  5. Step 5: Solve for x
    x = 39,506,732.37/6,209.70
  6. Step 6: Final answer
    x = 6,362.10

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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.