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Finding the Fourth Proportional to 29,697.12, 44,551.08 and 9,975.78

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Solution

The fourth proportional to 29,697.12, 44,551.08 and 9,975.78 is: 14,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.12 : 44,551.08 = 9,975.78 : x
  2. Step 2: Convert to fraction form
    29,697.12/44,551.08 = 9,975.78/x
  3. Step 3: Cross multiply
    29,697.12x = 44,551.08 × 9,975.78
  4. Step 4: Simplify right side
    29,697.12x = 444,431,772.84
  5. Step 5: Solve for x
    x = 444,431,772.84/29,697.12
  6. Step 6: Final answer
    x = 14,965.48

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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.