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Finding the Fourth Proportional to 9,761.78, 14,642.67 and 2,366.23

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Solution

The fourth proportional to 9,761.78, 14,642.67 and 2,366.23 is: 3,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.78 : 14,642.67 = 2,366.23 : x
  2. Step 2: Convert to fraction form
    9,761.78/14,642.67 = 2,366.23/x
  3. Step 3: Cross multiply
    9,761.78x = 14,642.67 × 2,366.23
  4. Step 4: Simplify right side
    9,761.78x = 34,647,925.03
  5. Step 5: Solve for x
    x = 34,647,925.03/9,761.78
  6. Step 6: Final answer
    x = 3,549.35

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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.