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Finding the Fourth Proportional to 5,104.57, 7,657.01 and 1,406.86

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Solution

The fourth proportional to 5,104.57, 7,657.01 and 1,406.86 is: 2,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.57 : 7,657.01 = 1,406.86 : x
  2. Step 2: Convert to fraction form
    5,104.57/7,657.01 = 1,406.86/x
  3. Step 3: Cross multiply
    5,104.57x = 7,657.01 × 1,406.86
  4. Step 4: Simplify right side
    5,104.57x = 10,772,341.09
  5. Step 5: Solve for x
    x = 10,772,341.09/5,104.57
  6. Step 6: Final answer
    x = 2,110.33

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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.