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Finding the Fourth Proportional to 9,342.80, 14,010.70 and 3,101.64

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Solution

The fourth proportional to 9,342.80, 14,010.70 and 3,101.64 is: 4,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.80 : 14,010.70 = 3,101.64 : x
  2. Step 2: Convert to fraction form
    9,342.80/14,010.70 = 3,101.64/x
  3. Step 3: Cross multiply
    9,342.80x = 14,010.70 × 3,101.64
  4. Step 4: Simplify right side
    9,342.80x = 43,456,147.55
  5. Step 5: Solve for x
    x = 43,456,147.55/9,342.80
  6. Step 6: Final answer
    x = 4,651.30

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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.