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Finding the Fourth Proportional to 9,850.98, 14,768.95 and 4,924.16

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Solution

The fourth proportional to 9,850.98, 14,768.95 and 4,924.16 is: 7,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.98 : 14,768.95 = 4,924.16 : x
  2. Step 2: Convert to fraction form
    9,850.98/14,768.95 = 4,924.16/x
  3. Step 3: Cross multiply
    9,850.98x = 14,768.95 × 4,924.16
  4. Step 4: Simplify right side
    9,850.98x = 72,724,586.68
  5. Step 5: Solve for x
    x = 72,724,586.68/9,850.98
  6. Step 6: Final answer
    x = 7,382.47

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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.