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Finding the Fourth Proportional to 29,874.12, 44,811.18 and 9,097.80

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Solution

The fourth proportional to 29,874.12, 44,811.18 and 9,097.80 is: 13,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874.12 : 44,811.18 = 9,097.80 : x
  2. Step 2: Convert to fraction form
    29,874.12/44,811.18 = 9,097.80/x
  3. Step 3: Cross multiply
    29,874.12x = 44,811.18 × 9,097.80
  4. Step 4: Simplify right side
    29,874.12x = 407,683,153.40
  5. Step 5: Solve for x
    x = 407,683,153.40/29,874.12
  6. Step 6: Final answer
    x = 13,646.70

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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.