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Finding the Fourth Proportional to 11,785.69, 16,264.24 and 6,480.51

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Solution

The fourth proportional to 11,785.69, 16,264.24 and 6,480.51 is: 8,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.69 : 16,264.24 = 6,480.51 : x
  2. Step 2: Convert to fraction form
    11,785.69/16,264.24 = 6,480.51/x
  3. Step 3: Cross multiply
    11,785.69x = 16,264.24 × 6,480.51
  4. Step 4: Simplify right side
    11,785.69x = 105,400,569.96
  5. Step 5: Solve for x
    x = 105,400,569.96/11,785.69
  6. Step 6: Final answer
    x = 8,943.10

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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.