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Finding the Fourth Proportional to 6,460.76, 9,688.26 and 2,999

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Solution

The fourth proportional to 6,460.76, 9,688.26 and 2,999 is: 4,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.76 : 9,688.26 = 2,999 : x
  2. Step 2: Convert to fraction form
    6,460.76/9,688.26 = 2,999/x
  3. Step 3: Cross multiply
    6,460.76x = 9,688.26 × 2,999
  4. Step 4: Simplify right side
    6,460.76x = 29,055,091.74
  5. Step 5: Solve for x
    x = 29,055,091.74/6,460.76
  6. Step 6: Final answer
    x = 4,497.16

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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.