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Finding the Fourth Proportional to 7,452, 10,284 and 4,140

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Solution

The fourth proportional to 7,452, 10,284 and 4,140 is: 5,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452 : 10,284 = 4,140 : x
  2. Step 2: Convert to fraction form
    7,452/10,284 = 4,140/x
  3. Step 3: Cross multiply
    7,452x = 10,284 × 4,140
  4. Step 4: Simplify right side
    7,452x = 42,575,760
  5. Step 5: Solve for x
    x = 42,575,760/7,452
  6. Step 6: Final answer
    x = 5,713.33

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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.