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Finding the Fourth Proportional to 9,107.40, 13,661.10 and 6,342.60

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Solution

The fourth proportional to 9,107.40, 13,661.10 and 6,342.60 is: 9,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.40 : 13,661.10 = 6,342.60 : x
  2. Step 2: Convert to fraction form
    9,107.40/13,661.10 = 6,342.60/x
  3. Step 3: Cross multiply
    9,107.40x = 13,661.10 × 6,342.60
  4. Step 4: Simplify right side
    9,107.40x = 86,646,892.86
  5. Step 5: Solve for x
    x = 86,646,892.86/9,107.40
  6. Step 6: Final answer
    x = 9,513.90

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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.