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Finding the Fourth Proportional to 4,944.05, 7,415.24 and 1,657.13

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Solution

The fourth proportional to 4,944.05, 7,415.24 and 1,657.13 is: 2,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.05 : 7,415.24 = 1,657.13 : x
  2. Step 2: Convert to fraction form
    4,944.05/7,415.24 = 1,657.13/x
  3. Step 3: Cross multiply
    4,944.05x = 7,415.24 × 1,657.13
  4. Step 4: Simplify right side
    4,944.05x = 12,287,971.30
  5. Step 5: Solve for x
    x = 12,287,971.30/4,944.05
  6. Step 6: Final answer
    x = 2,485.41

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Double scale
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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.