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Finding the Fourth Proportional to 14,649.00, 21,944.09 and 6,740.48

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Solution

The fourth proportional to 14,649.00, 21,944.09 and 6,740.48 is: 10,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.00 : 21,944.09 = 6,740.48 : x
  2. Step 2: Convert to fraction form
    14,649.00/21,944.09 = 6,740.48/x
  3. Step 3: Cross multiply
    14,649.00x = 21,944.09 × 6,740.48
  4. Step 4: Simplify right side
    14,649.00x = 147,913,771.47
  5. Step 5: Solve for x
    x = 147,913,771.47/14,649.00
  6. Step 6: Final answer
    x = 10,097.19

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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.