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Finding the Fourth Proportional to 9,863.76, 14,795.64 and 4,939.44

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Solution

The fourth proportional to 9,863.76, 14,795.64 and 4,939.44 is: 7,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.76 : 14,795.64 = 4,939.44 : x
  2. Step 2: Convert to fraction form
    9,863.76/14,795.64 = 4,939.44/x
  3. Step 3: Cross multiply
    9,863.76x = 14,795.64 × 4,939.44
  4. Step 4: Simplify right side
    9,863.76x = 73,082,176.04
  5. Step 5: Solve for x
    x = 73,082,176.04/9,863.76
  6. Step 6: Final answer
    x = 7,409.16

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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.