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Finding the Fourth Proportional to 16,575, 24,862.74 and 4,263

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Solution

The fourth proportional to 16,575, 24,862.74 and 4,263 is: 6,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575 : 24,862.74 = 4,263 : x
  2. Step 2: Convert to fraction form
    16,575/24,862.74 = 4,263/x
  3. Step 3: Cross multiply
    16,575x = 24,862.74 × 4,263
  4. Step 4: Simplify right side
    16,575x = 105,989,860.62
  5. Step 5: Solve for x
    x = 105,989,860.62/16,575
  6. Step 6: Final answer
    x = 6,394.56

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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.