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Finding the Fourth Proportional to 9,314.54, 13,962.08 and 3,765.63

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Solution

The fourth proportional to 9,314.54, 13,962.08 and 3,765.63 is: 5,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.54 : 13,962.08 = 3,765.63 : x
  2. Step 2: Convert to fraction form
    9,314.54/13,962.08 = 3,765.63/x
  3. Step 3: Cross multiply
    9,314.54x = 13,962.08 × 3,765.63
  4. Step 4: Simplify right side
    9,314.54x = 52,576,036.72
  5. Step 5: Solve for x
    x = 52,576,036.72/9,314.54
  6. Step 6: Final answer
    x = 5,644.52

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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.