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Finding the Fourth Proportional to 13,146.98, 18,146.03 and 7,845.12

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Solution

The fourth proportional to 13,146.98, 18,146.03 and 7,845.12 is: 10,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.98 : 18,146.03 = 7,845.12 : x
  2. Step 2: Convert to fraction form
    13,146.98/18,146.03 = 7,845.12/x
  3. Step 3: Cross multiply
    13,146.98x = 18,146.03 × 7,845.12
  4. Step 4: Simplify right side
    13,146.98x = 142,357,743.65
  5. Step 5: Solve for x
    x = 142,357,743.65/13,146.98
  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.