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Finding the Fourth Proportional to 6,829.98, 10,258.62 and 6,605.82

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Solution

The fourth proportional to 6,829.98, 10,258.62 and 6,605.82 is: 9,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.98 : 10,258.62 = 6,605.82 : x
  2. Step 2: Convert to fraction form
    6,829.98/10,258.62 = 6,605.82/x
  3. Step 3: Cross multiply
    6,829.98x = 10,258.62 × 6,605.82
  4. Step 4: Simplify right side
    6,829.98x = 67,766,597.17
  5. Step 5: Solve for x
    x = 67,766,597.17/6,829.98
  6. Step 6: Final answer
    x = 9,921.93

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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.