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Finding the Fourth Proportional to 14,437.64, 21,659.40 and 8,200.64

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Solution

The fourth proportional to 14,437.64, 21,659.40 and 8,200.64 is: 12,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.64 : 21,659.40 = 8,200.64 : x
  2. Step 2: Convert to fraction form
    14,437.64/21,659.40 = 8,200.64/x
  3. Step 3: Cross multiply
    14,437.64x = 21,659.40 × 8,200.64
  4. Step 4: Simplify right side
    14,437.64x = 177,620,996.16
  5. Step 5: Solve for x
    x = 177,620,996.16/14,437.64
  6. Step 6: Final answer
    x = 12,302.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.