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Finding the Fourth Proportional to 7,280.01, 9,976.43 and 6,580.17

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Solution

The fourth proportional to 7,280.01, 9,976.43 and 6,580.17 is: 9,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.01 : 9,976.43 = 6,580.17 : x
  2. Step 2: Convert to fraction form
    7,280.01/9,976.43 = 6,580.17/x
  3. Step 3: Cross multiply
    7,280.01x = 9,976.43 × 6,580.17
  4. Step 4: Simplify right side
    7,280.01x = 65,646,621.84
  5. Step 5: Solve for x
    x = 65,646,621.84/7,280.01
  6. Step 6: Final answer
    x = 9,017.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.