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Finding the Fourth Proportional to 6,523.14, 9,784.71 and 2,363.13

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Solution

The fourth proportional to 6,523.14, 9,784.71 and 2,363.13 is: 3,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.14 : 9,784.71 = 2,363.13 : x
  2. Step 2: Convert to fraction form
    6,523.14/9,784.71 = 2,363.13/x
  3. Step 3: Cross multiply
    6,523.14x = 9,784.71 × 2,363.13
  4. Step 4: Simplify right side
    6,523.14x = 23,122,541.74
  5. Step 5: Solve for x
    x = 23,122,541.74/6,523.14
  6. Step 6: Final answer
    x = 3,544.70

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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.