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Finding the Fourth Proportional to 10,625.54, 14,664.40 and 6,149.22

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Solution

The fourth proportional to 10,625.54, 14,664.40 and 6,149.22 is: 8,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.54 : 14,664.40 = 6,149.22 : x
  2. Step 2: Convert to fraction form
    10,625.54/14,664.40 = 6,149.22/x
  3. Step 3: Cross multiply
    10,625.54x = 14,664.40 × 6,149.22
  4. Step 4: Simplify right side
    10,625.54x = 90,174,621.77
  5. Step 5: Solve for x
    x = 90,174,621.77/10,625.54
  6. Step 6: Final answer
    x = 8,486.59

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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.