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Finding the Fourth Proportional to 15,194.15, 20,962.34 and 9,529.13

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Solution

The fourth proportional to 15,194.15, 20,962.34 and 9,529.13 is: 13,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.15 : 20,962.34 = 9,529.13 : x
  2. Step 2: Convert to fraction form
    15,194.15/20,962.34 = 9,529.13/x
  3. Step 3: Cross multiply
    15,194.15x = 20,962.34 × 9,529.13
  4. Step 4: Simplify right side
    15,194.15x = 199,752,939.19
  5. Step 5: Solve for x
    x = 199,752,939.19/15,194.15
  6. Step 6: Final answer
    x = 13,146.70

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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.