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Finding the Fourth Proportional to 9,777.12, 14,667.90 and 3,203.16

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Solution

The fourth proportional to 9,777.12, 14,667.90 and 3,203.16 is: 4,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.12 : 14,667.90 = 3,203.16 : x
  2. Step 2: Convert to fraction form
    9,777.12/14,667.90 = 3,203.16/x
  3. Step 3: Cross multiply
    9,777.12x = 14,667.90 × 3,203.16
  4. Step 4: Simplify right side
    9,777.12x = 46,983,630.56
  5. Step 5: Solve for x
    x = 46,983,630.56/9,777.12
  6. Step 6: Final answer
    x = 4,805.47

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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.