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Finding the Fourth Proportional to 7,614.41, 10,507.05 and 4,257.09

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Solution

The fourth proportional to 7,614.41, 10,507.05 and 4,257.09 is: 5,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.41 : 10,507.05 = 4,257.09 : x
  2. Step 2: Convert to fraction form
    7,614.41/10,507.05 = 4,257.09/x
  3. Step 3: Cross multiply
    7,614.41x = 10,507.05 × 4,257.09
  4. Step 4: Simplify right side
    7,614.41x = 44,729,457.48
  5. Step 5: Solve for x
    x = 44,729,457.48/7,614.41
  6. Step 6: Final answer
    x = 5,874.32

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Half scale
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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.