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Finding the Fourth Proportional to 12,949.35, 19,424.00 and 5,549.01

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Solution

The fourth proportional to 12,949.35, 19,424.00 and 5,549.01 is: 8,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949.35 : 19,424.00 = 5,549.01 : x
  2. Step 2: Convert to fraction form
    12,949.35/19,424.00 = 5,549.01/x
  3. Step 3: Cross multiply
    12,949.35x = 19,424.00 × 5,549.01
  4. Step 4: Simplify right side
    12,949.35x = 107,783,984.11
  5. Step 5: Solve for x
    x = 107,783,984.11/12,949.35
  6. Step 6: Final answer
    x = 8,323.51

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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.