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Finding the Fourth Proportional to 6,896.79, 10,292.19 and 6,158.64

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Solution

The fourth proportional to 6,896.79, 10,292.19 and 6,158.64 is: 9,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.79 : 10,292.19 = 6,158.64 : x
  2. Step 2: Convert to fraction form
    6,896.79/10,292.19 = 6,158.64/x
  3. Step 3: Cross multiply
    6,896.79x = 10,292.19 × 6,158.64
  4. Step 4: Simplify right side
    6,896.79x = 63,385,893.02
  5. Step 5: Solve for x
    x = 63,385,893.02/6,896.79
  6. Step 6: Final answer
    x = 9,190.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.