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Finding the Fourth Proportional to 6,580.05, 9,859.12 and 4,628.14

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Solution

The fourth proportional to 6,580.05, 9,859.12 and 4,628.14 is: 6,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.05 : 9,859.12 = 4,628.14 : x
  2. Step 2: Convert to fraction form
    6,580.05/9,859.12 = 4,628.14/x
  3. Step 3: Cross multiply
    6,580.05x = 9,859.12 × 4,628.14
  4. Step 4: Simplify right side
    6,580.05x = 45,629,387.64
  5. Step 5: Solve for x
    x = 45,629,387.64/6,580.05
  6. Step 6: Final answer
    x = 6,934.50

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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.