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Finding the Fourth Proportional to 4,944.06, 7,415.01 and 1,657.62

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Solution

The fourth proportional to 4,944.06, 7,415.01 and 1,657.62 is: 2,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.06 : 7,415.01 = 1,657.62 : x
  2. Step 2: Convert to fraction form
    4,944.06/7,415.01 = 1,657.62/x
  3. Step 3: Cross multiply
    4,944.06x = 7,415.01 × 1,657.62
  4. Step 4: Simplify right side
    4,944.06x = 12,291,268.88
  5. Step 5: Solve for x
    x = 12,291,268.88/4,944.06
  6. Step 6: Final answer
    x = 2,486.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.