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Finding the Fourth Proportional to 9,729.54, 14,592.95 and 3,155.78

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Solution

The fourth proportional to 9,729.54, 14,592.95 and 3,155.78 is: 4,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.54 : 14,592.95 = 3,155.78 : x
  2. Step 2: Convert to fraction form
    9,729.54/14,592.95 = 3,155.78/x
  3. Step 3: Cross multiply
    9,729.54x = 14,592.95 × 3,155.78
  4. Step 4: Simplify right side
    9,729.54x = 46,052,178.70
  5. Step 5: Solve for x
    x = 46,052,178.70/9,729.54
  6. Step 6: Final answer
    x = 4,733.23

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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.