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Finding the Fourth Proportional to 10,661.13, 14,712.32 and 5,945.41

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Solution

The fourth proportional to 10,661.13, 14,712.32 and 5,945.41 is: 8,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.13 : 14,712.32 = 5,945.41 : x
  2. Step 2: Convert to fraction form
    10,661.13/14,712.32 = 5,945.41/x
  3. Step 3: Cross multiply
    10,661.13x = 14,712.32 × 5,945.41
  4. Step 4: Simplify right side
    10,661.13x = 87,470,752.53
  5. Step 5: Solve for x
    x = 87,470,752.53/10,661.13
  6. Step 6: Final answer
    x = 8,204.64

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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.