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Finding the Fourth Proportional to 6,493.06, 8,957.97 and 3,697.06

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Solution

The fourth proportional to 6,493.06, 8,957.97 and 3,697.06 is: 5,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.06 : 8,957.97 = 3,697.06 : x
  2. Step 2: Convert to fraction form
    6,493.06/8,957.97 = 3,697.06/x
  3. Step 3: Cross multiply
    6,493.06x = 8,957.97 × 3,697.06
  4. Step 4: Simplify right side
    6,493.06x = 33,118,152.57
  5. Step 5: Solve for x
    x = 33,118,152.57/6,493.06
  6. Step 6: Final answer
    x = 5,100.55

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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.