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Finding the Fourth Proportional to 9,800.30, 14,695.41 and 3,225.74

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Solution

The fourth proportional to 9,800.30, 14,695.41 and 3,225.74 is: 4,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.30 : 14,695.41 = 3,225.74 : x
  2. Step 2: Convert to fraction form
    9,800.30/14,695.41 = 3,225.74/x
  3. Step 3: Cross multiply
    9,800.30x = 14,695.41 × 3,225.74
  4. Step 4: Simplify right side
    9,800.30x = 47,403,571.85
  5. Step 5: Solve for x
    x = 47,403,571.85/9,800.30
  6. Step 6: Final answer
    x = 4,836.95

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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.