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Finding the Fourth Proportional to 9,739.44, 13,442.16 and 7,377.60

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Solution

The fourth proportional to 9,739.44, 13,442.16 and 7,377.60 is: 10,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.44 : 13,442.16 = 7,377.60 : x
  2. Step 2: Convert to fraction form
    9,739.44/13,442.16 = 7,377.60/x
  3. Step 3: Cross multiply
    9,739.44x = 13,442.16 × 7,377.60
  4. Step 4: Simplify right side
    9,739.44x = 99,170,879.62
  5. Step 5: Solve for x
    x = 99,170,879.62/9,739.44
  6. Step 6: Final answer
    x = 10,182.40

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1.5x scale

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.