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Finding the Fourth Proportional to 6,583.97, 9,873.68 and 4,729.58

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Solution

The fourth proportional to 6,583.97, 9,873.68 and 4,729.58 is: 7,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.97 : 9,873.68 = 4,729.58 : x
  2. Step 2: Convert to fraction form
    6,583.97/9,873.68 = 4,729.58/x
  3. Step 3: Cross multiply
    6,583.97x = 9,873.68 × 4,729.58
  4. Step 4: Simplify right side
    6,583.97x = 46,698,359.45
  5. Step 5: Solve for x
    x = 46,698,359.45/6,583.97
  6. Step 6: Final answer
    x = 7,092.74

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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.