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Finding the Fourth Proportional to 9,152.25, 12,630.11 and 4,960.50

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Solution

The fourth proportional to 9,152.25, 12,630.11 and 4,960.50 is: 6,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.25 : 12,630.11 = 4,960.50 : x
  2. Step 2: Convert to fraction form
    9,152.25/12,630.11 = 4,960.50/x
  3. Step 3: Cross multiply
    9,152.25x = 12,630.11 × 4,960.50
  4. Step 4: Simplify right side
    9,152.25x = 62,651,635.85
  5. Step 5: Solve for x
    x = 62,651,635.85/9,152.25
  6. Step 6: Final answer
    x = 6,845.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.