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Finding the Fourth Proportional to 6,862.85, 9,490.67 and 6,738.24

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Solution

The fourth proportional to 6,862.85, 9,490.67 and 6,738.24 is: 9,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.85 : 9,490.67 = 6,738.24 : x
  2. Step 2: Convert to fraction form
    6,862.85/9,490.67 = 6,738.24/x
  3. Step 3: Cross multiply
    6,862.85x = 9,490.67 × 6,738.24
  4. Step 4: Simplify right side
    6,862.85x = 63,950,386.00
  5. Step 5: Solve for x
    x = 63,950,386.00/6,862.85
  6. Step 6: Final answer
    x = 9,318.34

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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.