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Finding the Fourth Proportional to 10,661.68, 14,712.92 and 5,946.80

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Solution

The fourth proportional to 10,661.68, 14,712.92 and 5,946.80 is: 8,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.68 : 14,712.92 = 5,946.80 : x
  2. Step 2: Convert to fraction form
    10,661.68/14,712.92 = 5,946.80/x
  3. Step 3: Cross multiply
    10,661.68x = 14,712.92 × 5,946.80
  4. Step 4: Simplify right side
    10,661.68x = 87,494,792.66
  5. Step 5: Solve for x
    x = 87,494,792.66/10,661.68
  6. Step 6: Final answer
    x = 8,206.47

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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.