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Finding the Fourth Proportional to 11,807.64, 17,712.48 and 3,042.48

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Solution

The fourth proportional to 11,807.64, 17,712.48 and 3,042.48 is: 4,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.64 : 17,712.48 = 3,042.48 : x
  2. Step 2: Convert to fraction form
    11,807.64/17,712.48 = 3,042.48/x
  3. Step 3: Cross multiply
    11,807.64x = 17,712.48 × 3,042.48
  4. Step 4: Simplify right side
    11,807.64x = 53,889,866.15
  5. Step 5: Solve for x
    x = 53,889,866.15/11,807.64
  6. Step 6: Final answer
    x = 4,563.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.