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Finding the Fourth Proportional to 9,717.40, 14,576.10 and 7,773.40

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Solution

The fourth proportional to 9,717.40, 14,576.10 and 7,773.40 is: 11,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.40 : 14,576.10 = 7,773.40 : x
  2. Step 2: Convert to fraction form
    9,717.40/14,576.10 = 7,773.40/x
  3. Step 3: Cross multiply
    9,717.40x = 14,576.10 × 7,773.40
  4. Step 4: Simplify right side
    9,717.40x = 113,305,855.74
  5. Step 5: Solve for x
    x = 113,305,855.74/9,717.40
  6. Step 6: Final answer
    x = 11,660.10

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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.