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Finding the Fourth Proportional to 14,661.00, 20,200.50 and 9,937.08

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Solution

The fourth proportional to 14,661.00, 20,200.50 and 9,937.08 is: 13,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.00 : 20,200.50 = 9,937.08 : x
  2. Step 2: Convert to fraction form
    14,661.00/20,200.50 = 9,937.08/x
  3. Step 3: Cross multiply
    14,661.00x = 20,200.50 × 9,937.08
  4. Step 4: Simplify right side
    14,661.00x = 200,733,997.78
  5. Step 5: Solve for x
    x = 200,733,997.78/14,661.00
  6. Step 6: Final answer
    x = 13,691.70

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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.