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Finding the Fourth Proportional to 6,335.76, 8,734.20 and 4,343.16

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Solution

The fourth proportional to 6,335.76, 8,734.20 and 4,343.16 is: 5,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.76 : 8,734.20 = 4,343.16 : x
  2. Step 2: Convert to fraction form
    6,335.76/8,734.20 = 4,343.16/x
  3. Step 3: Cross multiply
    6,335.76x = 8,734.20 × 4,343.16
  4. Step 4: Simplify right side
    6,335.76x = 37,934,028.07
  5. Step 5: Solve for x
    x = 37,934,028.07/6,335.76
  6. Step 6: Final answer
    x = 5,987.29

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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.