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Finding the Fourth Proportional to 9,710.68, 14,584.74 and 8,624.44

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Solution

The fourth proportional to 9,710.68, 14,584.74 and 8,624.44 is: 12,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.68 : 14,584.74 = 8,624.44 : x
  2. Step 2: Convert to fraction form
    9,710.68/14,584.74 = 8,624.44/x
  3. Step 3: Cross multiply
    9,710.68x = 14,584.74 × 8,624.44
  4. Step 4: Simplify right side
    9,710.68x = 125,785,215.05
  5. Step 5: Solve for x
    x = 125,785,215.05/9,710.68
  6. Step 6: Final answer
    x = 12,953.29

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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.