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Finding the Fourth Proportional to 12,133.63, 16,737.10 and 7,409.71

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Solution

The fourth proportional to 12,133.63, 16,737.10 and 7,409.71 is: 10,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.63 : 16,737.10 = 7,409.71 : x
  2. Step 2: Convert to fraction form
    12,133.63/16,737.10 = 7,409.71/x
  3. Step 3: Cross multiply
    12,133.63x = 16,737.10 × 7,409.71
  4. Step 4: Simplify right side
    12,133.63x = 124,017,057.24
  5. Step 5: Solve for x
    x = 124,017,057.24/12,133.63
  6. Step 6: Final answer
    x = 10,220.94

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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.