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Finding the Fourth Proportional to 7,704.83, 10,627.77 and 5,052.41

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Solution

The fourth proportional to 7,704.83, 10,627.77 and 5,052.41 is: 6,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.83 : 10,627.77 = 5,052.41 : x
  2. Step 2: Convert to fraction form
    7,704.83/10,627.77 = 5,052.41/x
  3. Step 3: Cross multiply
    7,704.83x = 10,627.77 × 5,052.41
  4. Step 4: Simplify right side
    7,704.83x = 53,695,851.43
  5. Step 5: Solve for x
    x = 53,695,851.43/7,704.83
  6. Step 6: Final answer
    x = 6,969.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.