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Finding the Fourth Proportional to 17,758.58, 24,506.35 and 9,800.22

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Solution

The fourth proportional to 17,758.58, 24,506.35 and 9,800.22 is: 13,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.58 : 24,506.35 = 9,800.22 : x
  2. Step 2: Convert to fraction form
    17,758.58/24,506.35 = 9,800.22/x
  3. Step 3: Cross multiply
    17,758.58x = 24,506.35 × 9,800.22
  4. Step 4: Simplify right side
    17,758.58x = 240,167,688.80
  5. Step 5: Solve for x
    x = 240,167,688.80/17,758.58
  6. Step 6: Final answer
    x = 13,524.04

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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.