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Finding the Fourth Proportional to 6,541.75, 9,812.63 and 1,924.75

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Solution

The fourth proportional to 6,541.75, 9,812.63 and 1,924.75 is: 2,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.75 : 9,812.63 = 1,924.75 : x
  2. Step 2: Convert to fraction form
    6,541.75/9,812.63 = 1,924.75/x
  3. Step 3: Cross multiply
    6,541.75x = 9,812.63 × 1,924.75
  4. Step 4: Simplify right side
    6,541.75x = 18,886,888.94
  5. Step 5: Solve for x
    x = 18,886,888.94/6,541.75
  6. Step 6: Final answer
    x = 2,887.13

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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.