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Finding the Fourth Proportional to 14,025.92, 19,355.74 and 7,738.24

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Solution

The fourth proportional to 14,025.92, 19,355.74 and 7,738.24 is: 10,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025.92 : 19,355.74 = 7,738.24 : x
  2. Step 2: Convert to fraction form
    14,025.92/19,355.74 = 7,738.24/x
  3. Step 3: Cross multiply
    14,025.92x = 19,355.74 × 7,738.24
  4. Step 4: Simplify right side
    14,025.92x = 149,779,361.50
  5. Step 5: Solve for x
    x = 149,779,361.50/14,025.92
  6. Step 6: Final answer
    x = 10,678.75

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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.