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Finding the Fourth Proportional to 6,205.43, 9,308.14 and 4,364.78

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Solution

The fourth proportional to 6,205.43, 9,308.14 and 4,364.78 is: 6,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.43 : 9,308.14 = 4,364.78 : x
  2. Step 2: Convert to fraction form
    6,205.43/9,308.14 = 4,364.78/x
  3. Step 3: Cross multiply
    6,205.43x = 9,308.14 × 4,364.78
  4. Step 4: Simplify right side
    6,205.43x = 40,627,964.31
  5. Step 5: Solve for x
    x = 40,627,964.31/6,205.43
  6. Step 6: Final answer
    x = 6,547.17

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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.