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Finding the Fourth Proportional to 12,236.86, 16,888 and 7,523.02

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Solution

The fourth proportional to 12,236.86, 16,888 and 7,523.02 is: 10,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.86 : 16,888 = 7,523.02 : x
  2. Step 2: Convert to fraction form
    12,236.86/16,888 = 7,523.02/x
  3. Step 3: Cross multiply
    12,236.86x = 16,888 × 7,523.02
  4. Step 4: Simplify right side
    12,236.86x = 127,048,761.76
  5. Step 5: Solve for x
    x = 127,048,761.76/12,236.86
  6. Step 6: Final answer
    x = 10,382.46

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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.