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Finding the Fourth Proportional to 6,806.59, 10,210.54 and 2,646.93

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Solution

The fourth proportional to 6,806.59, 10,210.54 and 2,646.93 is: 3,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.59 : 10,210.54 = 2,646.93 : x
  2. Step 2: Convert to fraction form
    6,806.59/10,210.54 = 2,646.93/x
  3. Step 3: Cross multiply
    6,806.59x = 10,210.54 × 2,646.93
  4. Step 4: Simplify right side
    6,806.59x = 27,026,584.64
  5. Step 5: Solve for x
    x = 27,026,584.64/6,806.59
  6. Step 6: Final answer
    x = 3,970.65

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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.