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Finding the Fourth Proportional to 9,622.80, 13,280.40 and 5,845.14

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Solution

The fourth proportional to 9,622.80, 13,280.40 and 5,845.14 is: 8,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.80 : 13,280.40 = 5,845.14 : x
  2. Step 2: Convert to fraction form
    9,622.80/13,280.40 = 5,845.14/x
  3. Step 3: Cross multiply
    9,622.80x = 13,280.40 × 5,845.14
  4. Step 4: Simplify right side
    9,622.80x = 77,625,797.26
  5. Step 5: Solve for x
    x = 77,625,797.26/9,622.80
  6. Step 6: Final answer
    x = 8,066.86

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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.