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Finding the Fourth Proportional to 15,377, 23,067.12 and 7,055.60

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Solution

The fourth proportional to 15,377, 23,067.12 and 7,055.60 is: 10,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,377 : 23,067.12 = 7,055.60 : x
  2. Step 2: Convert to fraction form
    15,377/23,067.12 = 7,055.60/x
  3. Step 3: Cross multiply
    15,377x = 23,067.12 × 7,055.60
  4. Step 4: Simplify right side
    15,377x = 162,752,371.87
  5. Step 5: Solve for x
    x = 162,752,371.87/15,377
  6. Step 6: Final answer
    x = 10,584.14

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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.