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Finding the Fourth Proportional to 9,800.15, 14,699.41 and 3,227.00

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Solution

The fourth proportional to 9,800.15, 14,699.41 and 3,227.00 is: 4,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.15 : 14,699.41 = 3,227.00 : x
  2. Step 2: Convert to fraction form
    9,800.15/14,699.41 = 3,227.00/x
  3. Step 3: Cross multiply
    9,800.15x = 14,699.41 × 3,227.00
  4. Step 4: Simplify right side
    9,800.15x = 47,434,914.51
  5. Step 5: Solve for x
    x = 47,434,914.51/9,800.15
  6. Step 6: Final answer
    x = 4,840.23

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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.