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Finding the Fourth Proportional to 13,046.68, 18,004.17 and 7,078.24

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Solution

The fourth proportional to 13,046.68, 18,004.17 and 7,078.24 is: 9,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.68 : 18,004.17 = 7,078.24 : x
  2. Step 2: Convert to fraction form
    13,046.68/18,004.17 = 7,078.24/x
  3. Step 3: Cross multiply
    13,046.68x = 18,004.17 × 7,078.24
  4. Step 4: Simplify right side
    13,046.68x = 127,437,836.26
  5. Step 5: Solve for x
    x = 127,437,836.26/13,046.68
  6. Step 6: Final answer
    x = 9,767.84

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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.