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Finding the Fourth Proportional to 9,650.25, 14,442.48 and 8,091.99

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Solution

The fourth proportional to 9,650.25, 14,442.48 and 8,091.99 is: 12,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.25 : 14,442.48 = 8,091.99 : x
  2. Step 2: Convert to fraction form
    9,650.25/14,442.48 = 8,091.99/x
  3. Step 3: Cross multiply
    9,650.25x = 14,442.48 × 8,091.99
  4. Step 4: Simplify right side
    9,650.25x = 116,868,403.74
  5. Step 5: Solve for x
    x = 116,868,403.74/9,650.25
  6. Step 6: Final answer
    x = 12,110.40

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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.