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Finding the Fourth Proportional to 7,855.97, 10,841.24 and 4,498.88

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Solution

The fourth proportional to 7,855.97, 10,841.24 and 4,498.88 is: 6,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.97 : 10,841.24 = 4,498.88 : x
  2. Step 2: Convert to fraction form
    7,855.97/10,841.24 = 4,498.88/x
  3. Step 3: Cross multiply
    7,855.97x = 10,841.24 × 4,498.88
  4. Step 4: Simplify right side
    7,855.97x = 48,773,415.32
  5. Step 5: Solve for x
    x = 48,773,415.32/7,855.97
  6. Step 6: Final answer
    x = 6,208.45

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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.