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Finding the Fourth Proportional to 7,052, 10,578 and 2,435

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Solution

The fourth proportional to 7,052, 10,578 and 2,435 is: 3,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052 : 10,578 = 2,435 : x
  2. Step 2: Convert to fraction form
    7,052/10,578 = 2,435/x
  3. Step 3: Cross multiply
    7,052x = 10,578 × 2,435
  4. Step 4: Simplify right side
    7,052x = 25,757,430
  5. Step 5: Solve for x
    x = 25,757,430/7,052
  6. Step 6: Final answer
    x = 3,652.50

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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.