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Finding the Fourth Proportional to 10,480.58, 15,783.27 and 9,452.42

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Solution

The fourth proportional to 10,480.58, 15,783.27 and 9,452.42 is: 14,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.58 : 15,783.27 = 9,452.42 : x
  2. Step 2: Convert to fraction form
    10,480.58/15,783.27 = 9,452.42/x
  3. Step 3: Cross multiply
    10,480.58x = 15,783.27 × 9,452.42
  4. Step 4: Simplify right side
    10,480.58x = 149,190,097.01
  5. Step 5: Solve for x
    x = 149,190,097.01/10,480.58
  6. Step 6: Final answer
    x = 14,234.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.