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Finding the Fourth Proportional to 11,904.26, 16,423.16 and 7,654.60

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Solution

The fourth proportional to 11,904.26, 16,423.16 and 7,654.60 is: 10,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.26 : 16,423.16 = 7,654.60 : x
  2. Step 2: Convert to fraction form
    11,904.26/16,423.16 = 7,654.60/x
  3. Step 3: Cross multiply
    11,904.26x = 16,423.16 × 7,654.60
  4. Step 4: Simplify right side
    11,904.26x = 125,712,720.54
  5. Step 5: Solve for x
    x = 125,712,720.54/11,904.26
  6. Step 6: Final answer
    x = 10,560.31

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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.