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Finding the Fourth Proportional to 6,634.95, 9,152.42 and 4,146.63

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Solution

The fourth proportional to 6,634.95, 9,152.42 and 4,146.63 is: 5,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.95 : 9,152.42 = 4,146.63 : x
  2. Step 2: Convert to fraction form
    6,634.95/9,152.42 = 4,146.63/x
  3. Step 3: Cross multiply
    6,634.95x = 9,152.42 × 4,146.63
  4. Step 4: Simplify right side
    6,634.95x = 37,951,699.34
  5. Step 5: Solve for x
    x = 37,951,699.34/6,634.95
  6. Step 6: Final answer
    x = 5,719.97

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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.