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Finding the Fourth Proportional to 11,946, 17,803.26 and 11,323.92

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Solution

The fourth proportional to 11,946, 17,803.26 and 11,323.92 is: 16,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946 : 17,803.26 = 11,323.92 : x
  2. Step 2: Convert to fraction form
    11,946/17,803.26 = 11,323.92/x
  3. Step 3: Cross multiply
    11,946x = 17,803.26 × 11,323.92
  4. Step 4: Simplify right side
    11,946x = 201,602,691.98
  5. Step 5: Solve for x
    x = 201,602,691.98/11,946
  6. Step 6: Final answer
    x = 16,876.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.