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Finding the Fourth Proportional to 10,624.25, 14,645.64 and 6,846.65

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Solution

The fourth proportional to 10,624.25, 14,645.64 and 6,846.65 is: 9,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.25 : 14,645.64 = 6,846.65 : x
  2. Step 2: Convert to fraction form
    10,624.25/14,645.64 = 6,846.65/x
  3. Step 3: Cross multiply
    10,624.25x = 14,645.64 × 6,846.65
  4. Step 4: Simplify right side
    10,624.25x = 100,273,571.11
  5. Step 5: Solve for x
    x = 100,273,571.11/10,624.25
  6. Step 6: Final answer
    x = 9,438.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.