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Finding the Fourth Proportional to 29,496.80, 44,245.12 and 9,777.28

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Solution

The fourth proportional to 29,496.80, 44,245.12 and 9,777.28 is: 14,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,496.80 : 44,245.12 = 9,777.28 : x
  2. Step 2: Convert to fraction form
    29,496.80/44,245.12 = 9,777.28/x
  3. Step 3: Cross multiply
    29,496.80x = 44,245.12 × 9,777.28
  4. Step 4: Simplify right side
    29,496.80x = 432,596,926.87
  5. Step 5: Solve for x
    x = 432,596,926.87/29,496.80
  6. Step 6: Final answer
    x = 14,665.89

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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.