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Finding the Fourth Proportional to 14,065.32, 21,097.98 and 5,745.48

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Solution

The fourth proportional to 14,065.32, 21,097.98 and 5,745.48 is: 8,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.32 : 21,097.98 = 5,745.48 : x
  2. Step 2: Convert to fraction form
    14,065.32/21,097.98 = 5,745.48/x
  3. Step 3: Cross multiply
    14,065.32x = 21,097.98 × 5,745.48
  4. Step 4: Simplify right side
    14,065.32x = 121,218,022.13
  5. Step 5: Solve for x
    x = 121,218,022.13/14,065.32
  6. Step 6: Final answer
    x = 8,618.22

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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.