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Finding the Fourth Proportional to 7,155.59, 10,675.98 and 6,366.22

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Solution

The fourth proportional to 7,155.59, 10,675.98 and 6,366.22 is: 9,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.59 : 10,675.98 = 6,366.22 : x
  2. Step 2: Convert to fraction form
    7,155.59/10,675.98 = 6,366.22/x
  3. Step 3: Cross multiply
    7,155.59x = 10,675.98 × 6,366.22
  4. Step 4: Simplify right side
    7,155.59x = 67,965,622.83
  5. Step 5: Solve for x
    x = 67,965,622.83/7,155.59
  6. Step 6: Final answer
    x = 9,498.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.