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Finding the Fourth Proportional to 6,838.63, 10,261.89 and 6,782.94

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Solution

The fourth proportional to 6,838.63, 10,261.89 and 6,782.94 is: 10,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.63 : 10,261.89 = 6,782.94 : x
  2. Step 2: Convert to fraction form
    6,838.63/10,261.89 = 6,782.94/x
  3. Step 3: Cross multiply
    6,838.63x = 10,261.89 × 6,782.94
  4. Step 4: Simplify right side
    6,838.63x = 69,605,784.16
  5. Step 5: Solve for x
    x = 69,605,784.16/6,838.63
  6. Step 6: Final answer
    x = 10,178.33

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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.