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Finding the Fourth Proportional to 9,673.61, 14,517.63 and 7,200.95

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Solution

The fourth proportional to 9,673.61, 14,517.63 and 7,200.95 is: 10,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.61 : 14,517.63 = 7,200.95 : x
  2. Step 2: Convert to fraction form
    9,673.61/14,517.63 = 7,200.95/x
  3. Step 3: Cross multiply
    9,673.61x = 14,517.63 × 7,200.95
  4. Step 4: Simplify right side
    9,673.61x = 104,540,655.16
  5. Step 5: Solve for x
    x = 104,540,655.16/9,673.61
  6. Step 6: Final answer
    x = 10,806.79

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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.