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Finding the Fourth Proportional to 9,777.56, 14,667.02 and 3,934.19

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Solution

The fourth proportional to 9,777.56, 14,667.02 and 3,934.19 is: 5,901.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.56 : 14,667.02 = 3,934.19 : x
  2. Step 2: Convert to fraction form
    9,777.56/14,667.02 = 3,934.19/x
  3. Step 3: Cross multiply
    9,777.56x = 14,667.02 × 3,934.19
  4. Step 4: Simplify right side
    9,777.56x = 57,702,750.41
  5. Step 5: Solve for x
    x = 57,702,750.41/9,777.56
  6. Step 6: Final answer
    x = 5,901.55

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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.