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Finding the Fourth Proportional to 16,597, 24,895.55 and 4,285

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Solution

The fourth proportional to 16,597, 24,895.55 and 4,285 is: 6,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597 : 24,895.55 = 4,285 : x
  2. Step 2: Convert to fraction form
    16,597/24,895.55 = 4,285/x
  3. Step 3: Cross multiply
    16,597x = 24,895.55 × 4,285
  4. Step 4: Simplify right side
    16,597x = 106,677,431.75
  5. Step 5: Solve for x
    x = 106,677,431.75/16,597
  6. Step 6: Final answer
    x = 6,427.51

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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.