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Finding the Fourth Proportional to 13,797.19, 19,040.02 and 7,509.57

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Solution

The fourth proportional to 13,797.19, 19,040.02 and 7,509.57 is: 10,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.19 : 19,040.02 = 7,509.57 : x
  2. Step 2: Convert to fraction form
    13,797.19/19,040.02 = 7,509.57/x
  3. Step 3: Cross multiply
    13,797.19x = 19,040.02 × 7,509.57
  4. Step 4: Simplify right side
    13,797.19x = 142,982,362.99
  5. Step 5: Solve for x
    x = 142,982,362.99/13,797.19
  6. Step 6: Final answer
    x = 10,363.15

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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.