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Finding the Fourth Proportional to 9,297, 13,946.30 and 2,371.48

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Solution

The fourth proportional to 9,297, 13,946.30 and 2,371.48 is: 3,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297 : 13,946.30 = 2,371.48 : x
  2. Step 2: Convert to fraction form
    9,297/13,946.30 = 2,371.48/x
  3. Step 3: Cross multiply
    9,297x = 13,946.30 × 2,371.48
  4. Step 4: Simplify right side
    9,297x = 33,073,371.52
  5. Step 5: Solve for x
    x = 33,073,371.52/9,297
  6. Step 6: Final answer
    x = 3,557.42

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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.