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Finding the Fourth Proportional to 7,751.40, 11,627.10 and 3,134.40

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Solution

The fourth proportional to 7,751.40, 11,627.10 and 3,134.40 is: 4,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.40 : 11,627.10 = 3,134.40 : x
  2. Step 2: Convert to fraction form
    7,751.40/11,627.10 = 3,134.40/x
  3. Step 3: Cross multiply
    7,751.40x = 11,627.10 × 3,134.40
  4. Step 4: Simplify right side
    7,751.40x = 36,443,982.24
  5. Step 5: Solve for x
    x = 36,443,982.24/7,751.40
  6. Step 6: Final answer
    x = 4,701.60

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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.