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Finding the Fourth Proportional to 7,748.04, 11,600.46 and 5,147.40

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Solution

The fourth proportional to 7,748.04, 11,600.46 and 5,147.40 is: 7,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.04 : 11,600.46 = 5,147.40 : x
  2. Step 2: Convert to fraction form
    7,748.04/11,600.46 = 5,147.40/x
  3. Step 3: Cross multiply
    7,748.04x = 11,600.46 × 5,147.40
  4. Step 4: Simplify right side
    7,748.04x = 59,712,207.80
  5. Step 5: Solve for x
    x = 59,712,207.80/7,748.04
  6. Step 6: Final answer
    x = 7,706.75

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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.