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Finding the Fourth Proportional to 10,797.94, 14,901.06 and 6,082.30

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Solution

The fourth proportional to 10,797.94, 14,901.06 and 6,082.30 is: 8,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.94 : 14,901.06 = 6,082.30 : x
  2. Step 2: Convert to fraction form
    10,797.94/14,901.06 = 6,082.30/x
  3. Step 3: Cross multiply
    10,797.94x = 14,901.06 × 6,082.30
  4. Step 4: Simplify right side
    10,797.94x = 90,632,717.24
  5. Step 5: Solve for x
    x = 90,632,717.24/10,797.94
  6. Step 6: Final answer
    x = 8,393.52

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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.