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Finding the Fourth Proportional to 9,695.94, 14,553.63 and 6,532.99

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Solution

The fourth proportional to 9,695.94, 14,553.63 and 6,532.99 is: 9,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.94 : 14,553.63 = 6,532.99 : x
  2. Step 2: Convert to fraction form
    9,695.94/14,553.63 = 6,532.99/x
  3. Step 3: Cross multiply
    9,695.94x = 14,553.63 × 6,532.99
  4. Step 4: Simplify right side
    9,695.94x = 95,078,737.45
  5. Step 5: Solve for x
    x = 95,078,737.45/9,695.94
  6. Step 6: Final answer
    x = 9,806.04

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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.