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Finding the Fourth Proportional to 14,962.50, 20,649.69 and 8,338.50

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Solution

The fourth proportional to 14,962.50, 20,649.69 and 8,338.50 is: 11,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962.50 : 20,649.69 = 8,338.50 : x
  2. Step 2: Convert to fraction form
    14,962.50/20,649.69 = 8,338.50/x
  3. Step 3: Cross multiply
    14,962.50x = 20,649.69 × 8,338.50
  4. Step 4: Simplify right side
    14,962.50x = 172,187,440.07
  5. Step 5: Solve for x
    x = 172,187,440.07/14,962.50
  6. Step 6: Final answer
    x = 11,507.93

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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.