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Finding the Fourth Proportional to 7,762.44, 10,712.15 and 4,225.64

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Solution

The fourth proportional to 7,762.44, 10,712.15 and 4,225.64 is: 5,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.44 : 10,712.15 = 4,225.64 : x
  2. Step 2: Convert to fraction form
    7,762.44/10,712.15 = 4,225.64/x
  3. Step 3: Cross multiply
    7,762.44x = 10,712.15 × 4,225.64
  4. Step 4: Simplify right side
    7,762.44x = 45,265,614.84
  5. Step 5: Solve for x
    x = 45,265,614.84/7,762.44
  6. Step 6: Final answer
    x = 5,831.36

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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.