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Finding the Fourth Proportional to 17,758.58, 24,506.12 and 9,800.70

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Solution

The fourth proportional to 17,758.58, 24,506.12 and 9,800.70 is: 13,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.58 : 24,506.12 = 9,800.70 : x
  2. Step 2: Convert to fraction form
    17,758.58/24,506.12 = 9,800.70/x
  3. Step 3: Cross multiply
    17,758.58x = 24,506.12 × 9,800.70
  4. Step 4: Simplify right side
    17,758.58x = 240,177,154.79
  5. Step 5: Solve for x
    x = 240,177,154.79/17,758.58
  6. Step 6: Final answer
    x = 13,524.57

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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.