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Finding the Fourth Proportional to 6,314.83, 9,474.10 and 3,030.68

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Solution

The fourth proportional to 6,314.83, 9,474.10 and 3,030.68 is: 4,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.83 : 9,474.10 = 3,030.68 : x
  2. Step 2: Convert to fraction form
    6,314.83/9,474.10 = 3,030.68/x
  3. Step 3: Cross multiply
    6,314.83x = 9,474.10 × 3,030.68
  4. Step 4: Simplify right side
    6,314.83x = 28,712,981.50
  5. Step 5: Solve for x
    x = 28,712,981.50/6,314.83
  6. Step 6: Final answer
    x = 4,546.91

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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.