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Finding the Fourth Proportional to 6,674.84, 9,210.87 and 3,690.50

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Solution

The fourth proportional to 6,674.84, 9,210.87 and 3,690.50 is: 5,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.84 : 9,210.87 = 3,690.50 : x
  2. Step 2: Convert to fraction form
    6,674.84/9,210.87 = 3,690.50/x
  3. Step 3: Cross multiply
    6,674.84x = 9,210.87 × 3,690.50
  4. Step 4: Simplify right side
    6,674.84x = 33,992,715.74
  5. Step 5: Solve for x
    x = 33,992,715.74/6,674.84
  6. Step 6: Final answer
    x = 5,092.66

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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.