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Finding the Fourth Proportional to 9,600.75, 14,384.75 and 6,813.63

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Solution

The fourth proportional to 9,600.75, 14,384.75 and 6,813.63 is: 10,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.75 : 14,384.75 = 6,813.63 : x
  2. Step 2: Convert to fraction form
    9,600.75/14,384.75 = 6,813.63/x
  3. Step 3: Cross multiply
    9,600.75x = 14,384.75 × 6,813.63
  4. Step 4: Simplify right side
    9,600.75x = 98,012,330.07
  5. Step 5: Solve for x
    x = 98,012,330.07/9,600.75
  6. Step 6: Final answer
    x = 10,208.82

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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.