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Finding the Fourth Proportional to 4,962.55, 7,443.42 and 1,264.63

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Solution

The fourth proportional to 4,962.55, 7,443.42 and 1,264.63 is: 1,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.55 : 7,443.42 = 1,264.63 : x
  2. Step 2: Convert to fraction form
    4,962.55/7,443.42 = 1,264.63/x
  3. Step 3: Cross multiply
    4,962.55x = 7,443.42 × 1,264.63
  4. Step 4: Simplify right side
    4,962.55x = 9,413,172.23
  5. Step 5: Solve for x
    x = 9,413,172.23/4,962.55
  6. Step 6: Final answer
    x = 1,896.84

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1.5x scale

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.