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Finding the Fourth Proportional to 22,553.42, 33,831.95 and 7,762.32

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Solution

The fourth proportional to 22,553.42, 33,831.95 and 7,762.32 is: 11,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,553.42 : 33,831.95 = 7,762.32 : x
  2. Step 2: Convert to fraction form
    22,553.42/33,831.95 = 7,762.32/x
  3. Step 3: Cross multiply
    22,553.42x = 33,831.95 × 7,762.32
  4. Step 4: Simplify right side
    22,553.42x = 262,614,383.31
  5. Step 5: Solve for x
    x = 262,614,383.31/22,553.42
  6. Step 6: Final answer
    x = 11,644.11

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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.