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Finding the Fourth Proportional to 7,762.92, 10,712.52 and 4,226.14

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Solution

The fourth proportional to 7,762.92, 10,712.52 and 4,226.14 is: 5,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.92 : 10,712.52 = 4,226.14 : x
  2. Step 2: Convert to fraction form
    7,762.92/10,712.52 = 4,226.14/x
  3. Step 3: Cross multiply
    7,762.92x = 10,712.52 × 4,226.14
  4. Step 4: Simplify right side
    7,762.92x = 45,272,609.27
  5. Step 5: Solve for x
    x = 45,272,609.27/7,762.92
  6. Step 6: Final answer
    x = 5,831.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.