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Finding the Fourth Proportional to 29,975.70, 44,963.55 and 9,199.20

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Solution

The fourth proportional to 29,975.70, 44,963.55 and 9,199.20 is: 13,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,975.70 : 44,963.55 = 9,199.20 : x
  2. Step 2: Convert to fraction form
    29,975.70/44,963.55 = 9,199.20/x
  3. Step 3: Cross multiply
    29,975.70x = 44,963.55 × 9,199.20
  4. Step 4: Simplify right side
    29,975.70x = 413,628,689.16
  5. Step 5: Solve for x
    x = 413,628,689.16/29,975.70
  6. Step 6: Final answer
    x = 13,798.80

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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.