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Finding the Fourth Proportional to 9,809.38, 14,703.76 and 4,804.85

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Solution

The fourth proportional to 9,809.38, 14,703.76 and 4,804.85 is: 7,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.38 : 14,703.76 = 4,804.85 : x
  2. Step 2: Convert to fraction form
    9,809.38/14,703.76 = 4,804.85/x
  3. Step 3: Cross multiply
    9,809.38x = 14,703.76 × 4,804.85
  4. Step 4: Simplify right side
    9,809.38x = 70,649,361.24
  5. Step 5: Solve for x
    x = 70,649,361.24/9,809.38
  6. Step 6: Final answer
    x = 7,202.22

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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.