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Finding the Fourth Proportional to 6,021.16, 9,031.74 and 2,941

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Solution

The fourth proportional to 6,021.16, 9,031.74 and 2,941 is: 4,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.16 : 9,031.74 = 2,941 : x
  2. Step 2: Convert to fraction form
    6,021.16/9,031.74 = 2,941/x
  3. Step 3: Cross multiply
    6,021.16x = 9,031.74 × 2,941
  4. Step 4: Simplify right side
    6,021.16x = 26,562,347.34
  5. Step 5: Solve for x
    x = 26,562,347.34/6,021.16
  6. Step 6: Final answer
    x = 4,411.50

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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.