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Finding the Fourth Proportional to 17,737.70, 24,482.28 and 10,662.75

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Solution

The fourth proportional to 17,737.70, 24,482.28 and 10,662.75 is: 14,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.70 : 24,482.28 = 10,662.75 : x
  2. Step 2: Convert to fraction form
    17,737.70/24,482.28 = 10,662.75/x
  3. Step 3: Cross multiply
    17,737.70x = 24,482.28 × 10,662.75
  4. Step 4: Simplify right side
    17,737.70x = 261,048,431.07
  5. Step 5: Solve for x
    x = 261,048,431.07/17,737.70
  6. Step 6: Final answer
    x = 14,717.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.