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Finding the Fourth Proportional to 19,900.52, 29,846.94 and 7,585.64

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Solution

The fourth proportional to 19,900.52, 29,846.94 and 7,585.64 is: 11,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900.52 : 29,846.94 = 7,585.64 : x
  2. Step 2: Convert to fraction form
    19,900.52/29,846.94 = 7,585.64/x
  3. Step 3: Cross multiply
    19,900.52x = 29,846.94 × 7,585.64
  4. Step 4: Simplify right side
    19,900.52x = 226,408,141.94
  5. Step 5: Solve for x
    x = 226,408,141.94/19,900.52
  6. Step 6: Final answer
    x = 11,377.00

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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.