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Finding the Fourth Proportional to 13,099.84, 19,649.98 and 7,293.36

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Solution

The fourth proportional to 13,099.84, 19,649.98 and 7,293.36 is: 10,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.84 : 19,649.98 = 7,293.36 : x
  2. Step 2: Convert to fraction form
    13,099.84/19,649.98 = 7,293.36/x
  3. Step 3: Cross multiply
    13,099.84x = 19,649.98 × 7,293.36
  4. Step 4: Simplify right side
    13,099.84x = 143,314,378.13
  5. Step 5: Solve for x
    x = 143,314,378.13/13,099.84
  6. Step 6: Final answer
    x = 10,940.16

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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.