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Finding the Fourth Proportional to 11,807.56, 17,700.40 and 5,230.24

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Solution

The fourth proportional to 11,807.56, 17,700.40 and 5,230.24 is: 7,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.56 : 17,700.40 = 5,230.24 : x
  2. Step 2: Convert to fraction form
    11,807.56/17,700.40 = 5,230.24/x
  3. Step 3: Cross multiply
    11,807.56x = 17,700.40 × 5,230.24
  4. Step 4: Simplify right side
    11,807.56x = 92,577,340.10
  5. Step 5: Solve for x
    x = 92,577,340.10/11,807.56
  6. Step 6: Final answer
    x = 7,840.51

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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.