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Finding the Fourth Proportional to 7,657.21, 10,573.68 and 4,829.64

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Solution

The fourth proportional to 7,657.21, 10,573.68 and 4,829.64 is: 6,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.21 : 10,573.68 = 4,829.64 : x
  2. Step 2: Convert to fraction form
    7,657.21/10,573.68 = 4,829.64/x
  3. Step 3: Cross multiply
    7,657.21x = 10,573.68 × 4,829.64
  4. Step 4: Simplify right side
    7,657.21x = 51,067,067.88
  5. Step 5: Solve for x
    x = 51,067,067.88/7,657.21
  6. Step 6: Final answer
    x = 6,669.15

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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.