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Finding the Fourth Proportional to 6,670.84, 9,198.84 and 5,729.74

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Solution

The fourth proportional to 6,670.84, 9,198.84 and 5,729.74 is: 7,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.84 : 9,198.84 = 5,729.74 : x
  2. Step 2: Convert to fraction form
    6,670.84/9,198.84 = 5,729.74/x
  3. Step 3: Cross multiply
    6,670.84x = 9,198.84 × 5,729.74
  4. Step 4: Simplify right side
    6,670.84x = 52,706,961.50
  5. Step 5: Solve for x
    x = 52,706,961.50/6,670.84
  6. Step 6: Final answer
    x = 7,901.10

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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.