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Finding the Fourth Proportional to 4,200, 6,300 and 1,464

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Solution

The fourth proportional to 4,200, 6,300 and 1,464 is: 2,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 6,300 = 1,464 : x
  2. Step 2: Convert to fraction form
    4,200/6,300 = 1,464/x
  3. Step 3: Cross multiply
    4,200x = 6,300 × 1,464
  4. Step 4: Simplify right side
    4,200x = 9,223,200
  5. Step 5: Solve for x
    x = 9,223,200/4,200
  6. Step 6: Final answer
    x = 2,196

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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.