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Finding the Fourth Proportional to 9,847.86, 14,762.44 and 3,928.38

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Solution

The fourth proportional to 9,847.86, 14,762.44 and 3,928.38 is: 5,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.86 : 14,762.44 = 3,928.38 : x
  2. Step 2: Convert to fraction form
    9,847.86/14,762.44 = 3,928.38/x
  3. Step 3: Cross multiply
    9,847.86x = 14,762.44 × 3,928.38
  4. Step 4: Simplify right side
    9,847.86x = 57,992,506.64
  5. Step 5: Solve for x
    x = 57,992,506.64/9,847.86
  6. Step 6: Final answer
    x = 5,888.85

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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.