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Finding the Fourth Proportional to 10,110, 15,165.54 and 3,185.04

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Solution

The fourth proportional to 10,110, 15,165.54 and 3,185.04 is: 4,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110 : 15,165.54 = 3,185.04 : x
  2. Step 2: Convert to fraction form
    10,110/15,165.54 = 3,185.04/x
  3. Step 3: Cross multiply
    10,110x = 15,165.54 × 3,185.04
  4. Step 4: Simplify right side
    10,110x = 48,302,851.52
  5. Step 5: Solve for x
    x = 48,302,851.52/10,110
  6. Step 6: Final answer
    x = 4,777.73

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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.