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Finding the Fourth Proportional to 9,152.54, 13,730.13 and 3,230.23

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Solution

The fourth proportional to 9,152.54, 13,730.13 and 3,230.23 is: 4,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.54 : 13,730.13 = 3,230.23 : x
  2. Step 2: Convert to fraction form
    9,152.54/13,730.13 = 3,230.23/x
  3. Step 3: Cross multiply
    9,152.54x = 13,730.13 × 3,230.23
  4. Step 4: Simplify right side
    9,152.54x = 44,351,443.50
  5. Step 5: Solve for x
    x = 44,351,443.50/9,152.54
  6. Step 6: Final answer
    x = 4,845.81

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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.