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Finding the Fourth Proportional to 6,674.64, 9,206.53 and 4,019.28

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Solution

The fourth proportional to 6,674.64, 9,206.53 and 4,019.28 is: 5,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.64 : 9,206.53 = 4,019.28 : x
  2. Step 2: Convert to fraction form
    6,674.64/9,206.53 = 4,019.28/x
  3. Step 3: Cross multiply
    6,674.64x = 9,206.53 × 4,019.28
  4. Step 4: Simplify right side
    6,674.64x = 37,003,621.90
  5. Step 5: Solve for x
    x = 37,003,621.90/6,674.64
  6. Step 6: Final answer
    x = 5,543.91

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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.