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Finding the Fourth Proportional to 6,580.87, 9,875.99 and 4,941.83

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Solution

The fourth proportional to 6,580.87, 9,875.99 and 4,941.83 is: 7,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.87 : 9,875.99 = 4,941.83 : x
  2. Step 2: Convert to fraction form
    6,580.87/9,875.99 = 4,941.83/x
  3. Step 3: Cross multiply
    6,580.87x = 9,875.99 × 4,941.83
  4. Step 4: Simplify right side
    6,580.87x = 48,805,500.71
  5. Step 5: Solve for x
    x = 48,805,500.71/6,580.87
  6. Step 6: Final answer
    x = 7,416.27

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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.