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Finding the Fourth Proportional to 6,307.06, 9,465.15 and 2,411.48

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Solution

The fourth proportional to 6,307.06, 9,465.15 and 2,411.48 is: 3,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.06 : 9,465.15 = 2,411.48 : x
  2. Step 2: Convert to fraction form
    6,307.06/9,465.15 = 2,411.48/x
  3. Step 3: Cross multiply
    6,307.06x = 9,465.15 × 2,411.48
  4. Step 4: Simplify right side
    6,307.06x = 22,825,019.92
  5. Step 5: Solve for x
    x = 22,825,019.92/6,307.06
  6. Step 6: Final answer
    x = 3,618.96

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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.