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Finding the Fourth Proportional to 6,458.76, 8,914.54 and 4,100.46

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Solution

The fourth proportional to 6,458.76, 8,914.54 and 4,100.46 is: 5,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.76 : 8,914.54 = 4,100.46 : x
  2. Step 2: Convert to fraction form
    6,458.76/8,914.54 = 4,100.46/x
  3. Step 3: Cross multiply
    6,458.76x = 8,914.54 × 4,100.46
  4. Step 4: Simplify right side
    6,458.76x = 36,553,714.69
  5. Step 5: Solve for x
    x = 36,553,714.69/6,458.76
  6. Step 6: Final answer
    x = 5,659.56

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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.