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Finding the Fourth Proportional to 10,797.44, 14,904.20 and 6,322.63

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Solution

The fourth proportional to 10,797.44, 14,904.20 and 6,322.63 is: 8,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.44 : 14,904.20 = 6,322.63 : x
  2. Step 2: Convert to fraction form
    10,797.44/14,904.20 = 6,322.63/x
  3. Step 3: Cross multiply
    10,797.44x = 14,904.20 × 6,322.63
  4. Step 4: Simplify right side
    10,797.44x = 94,233,710.43
  5. Step 5: Solve for x
    x = 94,233,710.43/10,797.44
  6. Step 6: Final answer
    x = 8,727.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.