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Finding the Fourth Proportional to 6,674.79, 9,210.57 and 3,690.22

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Solution

The fourth proportional to 6,674.79, 9,210.57 and 3,690.22 is: 5,092.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.79 : 9,210.57 = 3,690.22 : x
  2. Step 2: Convert to fraction form
    6,674.79/9,210.57 = 3,690.22/x
  3. Step 3: Cross multiply
    6,674.79x = 9,210.57 × 3,690.22
  4. Step 4: Simplify right side
    6,674.79x = 33,989,010.03
  5. Step 5: Solve for x
    x = 33,989,010.03/6,674.79
  6. Step 6: Final answer
    x = 5,092.14

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Half scale
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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.