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Finding the Fourth Proportional to 9,728.34, 14,592.34 and 3,154.54

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Solution

The fourth proportional to 9,728.34, 14,592.34 and 3,154.54 is: 4,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.34 : 14,592.34 = 3,154.54 : x
  2. Step 2: Convert to fraction form
    9,728.34/14,592.34 = 3,154.54/x
  3. Step 3: Cross multiply
    9,728.34x = 14,592.34 × 3,154.54
  4. Step 4: Simplify right side
    9,728.34x = 46,032,120.22
  5. Step 5: Solve for x
    x = 46,032,120.22/9,728.34
  6. Step 6: Final answer
    x = 4,731.75

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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.