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Finding the Fourth Proportional to 9,993.25, 14,973.47 and 3,415.85

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Solution

The fourth proportional to 9,993.25, 14,973.47 and 3,415.85 is: 5,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.25 : 14,973.47 = 3,415.85 : x
  2. Step 2: Convert to fraction form
    9,993.25/14,973.47 = 3,415.85/x
  3. Step 3: Cross multiply
    9,993.25x = 14,973.47 × 3,415.85
  4. Step 4: Simplify right side
    9,993.25x = 51,147,035.55
  5. Step 5: Solve for x
    x = 51,147,035.55/9,993.25
  6. Step 6: Final answer
    x = 5,118.16

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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.