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Finding the Fourth Proportional to 9,782.87, 14,649.06 and 6,485.63

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Solution

The fourth proportional to 9,782.87, 14,649.06 and 6,485.63 is: 9,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.87 : 14,649.06 = 6,485.63 : x
  2. Step 2: Convert to fraction form
    9,782.87/14,649.06 = 6,485.63/x
  3. Step 3: Cross multiply
    9,782.87x = 14,649.06 × 6,485.63
  4. Step 4: Simplify right side
    9,782.87x = 95,008,383.01
  5. Step 5: Solve for x
    x = 95,008,383.01/9,782.87
  6. Step 6: Final answer
    x = 9,711.71

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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.