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Finding the Fourth Proportional to 8,230.50, 11,354.04 and 5,578.74

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Solution

The fourth proportional to 8,230.50, 11,354.04 and 5,578.74 is: 7,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.50 : 11,354.04 = 5,578.74 : x
  2. Step 2: Convert to fraction form
    8,230.50/11,354.04 = 5,578.74/x
  3. Step 3: Cross multiply
    8,230.50x = 11,354.04 × 5,578.74
  4. Step 4: Simplify right side
    8,230.50x = 63,341,237.11
  5. Step 5: Solve for x
    x = 63,341,237.11/8,230.50
  6. Step 6: Final answer
    x = 7,695.92

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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.