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Finding the Fourth Proportional to 6,314.82, 9,410.67 and 6,124.80

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Solution

The fourth proportional to 6,314.82, 9,410.67 and 6,124.80 is: 9,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.82 : 9,410.67 = 6,124.80 : x
  2. Step 2: Convert to fraction form
    6,314.82/9,410.67 = 6,124.80/x
  3. Step 3: Cross multiply
    6,314.82x = 9,410.67 × 6,124.80
  4. Step 4: Simplify right side
    6,314.82x = 57,638,471.62
  5. Step 5: Solve for x
    x = 57,638,471.62/6,314.82
  6. Step 6: Final answer
    x = 9,127.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.