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Finding the Fourth Proportional to 13,797.70, 19,040.73 and 7,510.06

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Solution

The fourth proportional to 13,797.70, 19,040.73 and 7,510.06 is: 10,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.70 : 19,040.73 = 7,510.06 : x
  2. Step 2: Convert to fraction form
    13,797.70/19,040.73 = 7,510.06/x
  3. Step 3: Cross multiply
    13,797.70x = 19,040.73 × 7,510.06
  4. Step 4: Simplify right side
    13,797.70x = 142,997,024.74
  5. Step 5: Solve for x
    x = 142,997,024.74/13,797.70
  6. Step 6: Final answer
    x = 10,363.83

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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.