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Finding the Fourth Proportional to 14,965.56, 20,657.70 and 9,662.22

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Solution

The fourth proportional to 14,965.56, 20,657.70 and 9,662.22 is: 13,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.56 : 20,657.70 = 9,662.22 : x
  2. Step 2: Convert to fraction form
    14,965.56/20,657.70 = 9,662.22/x
  3. Step 3: Cross multiply
    14,965.56x = 20,657.70 × 9,662.22
  4. Step 4: Simplify right side
    14,965.56x = 199,599,242.09
  5. Step 5: Solve for x
    x = 199,599,242.09/14,965.56
  6. Step 6: Final answer
    x = 13,337.24

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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.