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Finding the Fourth Proportional to 14,773.68, 22,173.27 and 7,758.63

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Solution

The fourth proportional to 14,773.68, 22,173.27 and 7,758.63 is: 11,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.68 : 22,173.27 = 7,758.63 : x
  2. Step 2: Convert to fraction form
    14,773.68/22,173.27 = 7,758.63/x
  3. Step 3: Cross multiply
    14,773.68x = 22,173.27 × 7,758.63
  4. Step 4: Simplify right side
    14,773.68x = 172,034,197.82
  5. Step 5: Solve for x
    x = 172,034,197.82/14,773.68
  6. Step 6: Final answer
    x = 11,644.64

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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.