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Finding the Fourth Proportional to 9,263.85, 12,775.48 and 8,575.80

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Solution

The fourth proportional to 9,263.85, 12,775.48 and 8,575.80 is: 11,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.85 : 12,775.48 = 8,575.80 : x
  2. Step 2: Convert to fraction form
    9,263.85/12,775.48 = 8,575.80/x
  3. Step 3: Cross multiply
    9,263.85x = 12,775.48 × 8,575.80
  4. Step 4: Simplify right side
    9,263.85x = 109,559,899.91
  5. Step 5: Solve for x
    x = 109,559,899.91/9,263.85
  6. Step 6: Final answer
    x = 11,826.61

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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.