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Finding the Fourth Proportional to 6,941.63, 9,586.45 and 4,424.93

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Solution

The fourth proportional to 6,941.63, 9,586.45 and 4,424.93 is: 6,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.63 : 9,586.45 = 4,424.93 : x
  2. Step 2: Convert to fraction form
    6,941.63/9,586.45 = 4,424.93/x
  3. Step 3: Cross multiply
    6,941.63x = 9,586.45 × 4,424.93
  4. Step 4: Simplify right side
    6,941.63x = 42,419,370.20
  5. Step 5: Solve for x
    x = 42,419,370.20/6,941.63
  6. Step 6: Final answer
    x = 6,110.87

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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.