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Finding the Fourth Proportional to 6,951.92, 10,424.61 and 2,509.01

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Solution

The fourth proportional to 6,951.92, 10,424.61 and 2,509.01 is: 3,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.92 : 10,424.61 = 2,509.01 : x
  2. Step 2: Convert to fraction form
    6,951.92/10,424.61 = 2,509.01/x
  3. Step 3: Cross multiply
    6,951.92x = 10,424.61 × 2,509.01
  4. Step 4: Simplify right side
    6,951.92x = 26,155,428.30
  5. Step 5: Solve for x
    x = 26,155,428.30/6,951.92
  6. Step 6: Final answer
    x = 3,762.33

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1.5x scale

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.