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Finding the Fourth Proportional to 6,090, 8,400.96 and 4,097.16

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Solution

The fourth proportional to 6,090, 8,400.96 and 4,097.16 is: 5,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090 : 8,400.96 = 4,097.16 : x
  2. Step 2: Convert to fraction form
    6,090/8,400.96 = 4,097.16/x
  3. Step 3: Cross multiply
    6,090x = 8,400.96 × 4,097.16
  4. Step 4: Simplify right side
    6,090x = 34,420,077.27
  5. Step 5: Solve for x
    x = 34,420,077.27/6,090
  6. Step 6: Final answer
    x = 5,651.90

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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.