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Finding the Fourth Proportional to 11,422.40, 17,117.40 and 10,029.20

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Solution

The fourth proportional to 11,422.40, 17,117.40 and 10,029.20 is: 15,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.40 : 17,117.40 = 10,029.20 : x
  2. Step 2: Convert to fraction form
    11,422.40/17,117.40 = 10,029.20/x
  3. Step 3: Cross multiply
    11,422.40x = 17,117.40 × 10,029.20
  4. Step 4: Simplify right side
    11,422.40x = 171,673,828.08
  5. Step 5: Solve for x
    x = 171,673,828.08/11,422.40
  6. Step 6: Final answer
    x = 15,029.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.