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Finding the Fourth Proportional to 14,597.82, 20,144.99 and 7,883.45

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Solution

The fourth proportional to 14,597.82, 20,144.99 and 7,883.45 is: 10,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.82 : 20,144.99 = 7,883.45 : x
  2. Step 2: Convert to fraction form
    14,597.82/20,144.99 = 7,883.45/x
  3. Step 3: Cross multiply
    14,597.82x = 20,144.99 × 7,883.45
  4. Step 4: Simplify right side
    14,597.82x = 158,812,050.98
  5. Step 5: Solve for x
    x = 158,812,050.98/14,597.82
  6. Step 6: Final answer
    x = 10,879.16

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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.