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Finding the Fourth Proportional to 9,225.94, 13,770.77 and 8,575.78

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Solution

The fourth proportional to 9,225.94, 13,770.77 and 8,575.78 is: 12,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.94 : 13,770.77 = 8,575.78 : x
  2. Step 2: Convert to fraction form
    9,225.94/13,770.77 = 8,575.78/x
  3. Step 3: Cross multiply
    9,225.94x = 13,770.77 × 8,575.78
  4. Step 4: Simplify right side
    9,225.94x = 118,095,093.95
  5. Step 5: Solve for x
    x = 118,095,093.95/9,225.94
  6. Step 6: Final answer
    x = 12,800.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.