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Finding the Fourth Proportional to 9,761.60, 14,625.60 and 4,556.80

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Solution

The fourth proportional to 9,761.60, 14,625.60 and 4,556.80 is: 6,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.60 : 14,625.60 = 4,556.80 : x
  2. Step 2: Convert to fraction form
    9,761.60/14,625.60 = 4,556.80/x
  3. Step 3: Cross multiply
    9,761.60x = 14,625.60 × 4,556.80
  4. Step 4: Simplify right side
    9,761.60x = 66,645,934.08
  5. Step 5: Solve for x
    x = 66,645,934.08/9,761.60
  6. Step 6: Final answer
    x = 6,827.36

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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.