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Finding the Fourth Proportional to 6,213.76, 8,574.87 and 3,419.26

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Solution

The fourth proportional to 6,213.76, 8,574.87 and 3,419.26 is: 4,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.76 : 8,574.87 = 3,419.26 : x
  2. Step 2: Convert to fraction form
    6,213.76/8,574.87 = 3,419.26/x
  3. Step 3: Cross multiply
    6,213.76x = 8,574.87 × 3,419.26
  4. Step 4: Simplify right side
    6,213.76x = 29,319,710.00
  5. Step 5: Solve for x
    x = 29,319,710.00/6,213.76
  6. Step 6: Final answer
    x = 4,718.51

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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.