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Finding the Fourth Proportional to 11,781, 16,258.16 and 6,476.20

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Solution

The fourth proportional to 11,781, 16,258.16 and 6,476.20 is: 8,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781 : 16,258.16 = 6,476.20 : x
  2. Step 2: Convert to fraction form
    11,781/16,258.16 = 6,476.20/x
  3. Step 3: Cross multiply
    11,781x = 16,258.16 × 6,476.20
  4. Step 4: Simplify right side
    11,781x = 105,291,095.79
  5. Step 5: Solve for x
    x = 105,291,095.79/11,781
  6. Step 6: Final answer
    x = 8,937.36

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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.