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Finding the Fourth Proportional to 13,797.14, 19,040.51 and 7,829.06

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Solution

The fourth proportional to 13,797.14, 19,040.51 and 7,829.06 is: 10,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.14 : 19,040.51 = 7,829.06 : x
  2. Step 2: Convert to fraction form
    13,797.14/19,040.51 = 7,829.06/x
  3. Step 3: Cross multiply
    13,797.14x = 19,040.51 × 7,829.06
  4. Step 4: Simplify right side
    13,797.14x = 149,069,303.68
  5. Step 5: Solve for x
    x = 149,069,303.68/13,797.14
  6. Step 6: Final answer
    x = 10,804.36

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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.