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Finding the Fourth Proportional to 9,107.60, 13,661.40 and 5,646.80

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Solution

The fourth proportional to 9,107.60, 13,661.40 and 5,646.80 is: 8,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.60 : 13,661.40 = 5,646.80 : x
  2. Step 2: Convert to fraction form
    9,107.60/13,661.40 = 5,646.80/x
  3. Step 3: Cross multiply
    9,107.60x = 13,661.40 × 5,646.80
  4. Step 4: Simplify right side
    9,107.60x = 77,143,193.52
  5. Step 5: Solve for x
    x = 77,143,193.52/9,107.60
  6. Step 6: Final answer
    x = 8,470.20

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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.