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Finding the Fourth Proportional to 6,078.60, 9,107.10 and 5,214.60

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Solution

The fourth proportional to 6,078.60, 9,107.10 and 5,214.60 is: 7,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.60 : 9,107.10 = 5,214.60 : x
  2. Step 2: Convert to fraction form
    6,078.60/9,107.10 = 5,214.60/x
  3. Step 3: Cross multiply
    6,078.60x = 9,107.10 × 5,214.60
  4. Step 4: Simplify right side
    6,078.60x = 47,489,883.66
  5. Step 5: Solve for x
    x = 47,489,883.66/6,078.60
  6. Step 6: Final answer
    x = 7,812.64

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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.