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Finding the Fourth Proportional to 10,677.87, 14,735.41 and 5,962.16

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Solution

The fourth proportional to 10,677.87, 14,735.41 and 5,962.16 is: 8,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.87 : 14,735.41 = 5,962.16 : x
  2. Step 2: Convert to fraction form
    10,677.87/14,735.41 = 5,962.16/x
  3. Step 3: Cross multiply
    10,677.87x = 14,735.41 × 5,962.16
  4. Step 4: Simplify right side
    10,677.87x = 87,854,798.41
  5. Step 5: Solve for x
    x = 87,854,798.41/10,677.87
  6. Step 6: Final answer
    x = 8,227.74

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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.