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Finding the Fourth Proportional to 14,738.40, 22,112.88 and 7,342.20

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Solution

The fourth proportional to 14,738.40, 22,112.88 and 7,342.20 is: 11,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.40 : 22,112.88 = 7,342.20 : x
  2. Step 2: Convert to fraction form
    14,738.40/22,112.88 = 7,342.20/x
  3. Step 3: Cross multiply
    14,738.40x = 22,112.88 × 7,342.20
  4. Step 4: Simplify right side
    14,738.40x = 162,357,187.54
  5. Step 5: Solve for x
    x = 162,357,187.54/14,738.40
  6. Step 6: Final answer
    x = 11,015.93

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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.