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Finding the Fourth Proportional to 12,193.47, 16,827.31 and 7,411.77

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Solution

The fourth proportional to 12,193.47, 16,827.31 and 7,411.77 is: 10,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.47 : 16,827.31 = 7,411.77 : x
  2. Step 2: Convert to fraction form
    12,193.47/16,827.31 = 7,411.77/x
  3. Step 3: Cross multiply
    12,193.47x = 16,827.31 × 7,411.77
  4. Step 4: Simplify right side
    12,193.47x = 124,720,160.70
  5. Step 5: Solve for x
    x = 124,720,160.70/12,193.47
  6. Step 6: Final answer
    x = 10,228.44

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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.