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Finding the Fourth Proportional to 6,669.84, 9,197.46 and 5,728.74

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Solution

The fourth proportional to 6,669.84, 9,197.46 and 5,728.74 is: 7,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.84 : 9,197.46 = 5,728.74 : x
  2. Step 2: Convert to fraction form
    6,669.84/9,197.46 = 5,728.74/x
  3. Step 3: Cross multiply
    6,669.84x = 9,197.46 × 5,728.74
  4. Step 4: Simplify right side
    6,669.84x = 52,689,857.00
  5. Step 5: Solve for x
    x = 52,689,857.00/6,669.84
  6. Step 6: Final answer
    x = 7,899.72

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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.