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Finding the Fourth Proportional to 7,887.24, 11,831.28 and 7,493.52

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Solution

The fourth proportional to 7,887.24, 11,831.28 and 7,493.52 is: 11,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.24 : 11,831.28 = 7,493.52 : x
  2. Step 2: Convert to fraction form
    7,887.24/11,831.28 = 7,493.52/x
  3. Step 3: Cross multiply
    7,887.24x = 11,831.28 × 7,493.52
  4. Step 4: Simplify right side
    7,887.24x = 88,657,933.31
  5. Step 5: Solve for x
    x = 88,657,933.31/7,887.24
  6. Step 6: Final answer
    x = 11,240.68

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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.