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Finding the Fourth Proportional to 10,181.80, 15,272.70 and 9,404.20

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Solution

The fourth proportional to 10,181.80, 15,272.70 and 9,404.20 is: 14,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.80 : 15,272.70 = 9,404.20 : x
  2. Step 2: Convert to fraction form
    10,181.80/15,272.70 = 9,404.20/x
  3. Step 3: Cross multiply
    10,181.80x = 15,272.70 × 9,404.20
  4. Step 4: Simplify right side
    10,181.80x = 143,627,525.34
  5. Step 5: Solve for x
    x = 143,627,525.34/10,181.80
  6. Step 6: Final answer
    x = 14,106.30

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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.