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Finding the Fourth Proportional to 6,976, 10,459.16 and 3,277.52

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Solution

The fourth proportional to 6,976, 10,459.16 and 3,277.52 is: 4,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976 : 10,459.16 = 3,277.52 : x
  2. Step 2: Convert to fraction form
    6,976/10,459.16 = 3,277.52/x
  3. Step 3: Cross multiply
    6,976x = 10,459.16 × 3,277.52
  4. Step 4: Simplify right side
    6,976x = 34,280,106.08
  5. Step 5: Solve for x
    x = 34,280,106.08/6,976
  6. Step 6: Final answer
    x = 4,914.01

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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.