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Finding the Fourth Proportional to 23,758.74, 35,624.88 and 9,728.60

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Solution

The fourth proportional to 23,758.74, 35,624.88 and 9,728.60 is: 14,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.74 : 35,624.88 = 9,728.60 : x
  2. Step 2: Convert to fraction form
    23,758.74/35,624.88 = 9,728.60/x
  3. Step 3: Cross multiply
    23,758.74x = 35,624.88 × 9,728.60
  4. Step 4: Simplify right side
    23,758.74x = 346,580,207.57
  5. Step 5: Solve for x
    x = 346,580,207.57/23,758.74
  6. Step 6: Final answer
    x = 14,587.48

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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.