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Finding the Fourth Proportional to 7,575, 10,453.50 and 4,263

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Solution

The fourth proportional to 7,575, 10,453.50 and 4,263 is: 5,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575 : 10,453.50 = 4,263 : x
  2. Step 2: Convert to fraction form
    7,575/10,453.50 = 4,263/x
  3. Step 3: Cross multiply
    7,575x = 10,453.50 × 4,263
  4. Step 4: Simplify right side
    7,575x = 44,563,270.50
  5. Step 5: Solve for x
    x = 44,563,270.50/7,575
  6. Step 6: Final answer
    x = 5,882.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.