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Finding the Fourth Proportional to 7,762.43, 10,712.16 and 4,225.66

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Solution

The fourth proportional to 7,762.43, 10,712.16 and 4,225.66 is: 5,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.43 : 10,712.16 = 4,225.66 : x
  2. Step 2: Convert to fraction form
    7,762.43/10,712.16 = 4,225.66/x
  3. Step 3: Cross multiply
    7,762.43x = 10,712.16 × 4,225.66
  4. Step 4: Simplify right side
    7,762.43x = 45,265,919.25
  5. Step 5: Solve for x
    x = 45,265,919.25/7,762.43
  6. Step 6: Final answer
    x = 5,831.41

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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.