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Finding the Fourth Proportional to 13,152.98, 18,151.19 and 7,846.47

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Solution

The fourth proportional to 13,152.98, 18,151.19 and 7,846.47 is: 10,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.98 : 18,151.19 = 7,846.47 : x
  2. Step 2: Convert to fraction form
    13,152.98/18,151.19 = 7,846.47/x
  3. Step 3: Cross multiply
    13,152.98x = 18,151.19 × 7,846.47
  4. Step 4: Simplify right side
    13,152.98x = 142,422,757.99
  5. Step 5: Solve for x
    x = 142,422,757.99/13,152.98
  6. Step 6: Final answer
    x = 10,828.17

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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.