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Finding the Fourth Proportional to 6,568.86, 9,870.30 and 4,935.90

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Solution

The fourth proportional to 6,568.86, 9,870.30 and 4,935.90 is: 7,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.86 : 9,870.30 = 4,935.90 : x
  2. Step 2: Convert to fraction form
    6,568.86/9,870.30 = 4,935.90/x
  3. Step 3: Cross multiply
    6,568.86x = 9,870.30 × 4,935.90
  4. Step 4: Simplify right side
    6,568.86x = 48,718,813.77
  5. Step 5: Solve for x
    x = 48,718,813.77/6,568.86
  6. Step 6: Final answer
    x = 7,416.63

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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.