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Finding the Fourth Proportional to 6,048.40, 9,072 and 2,152.72

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Solution

The fourth proportional to 6,048.40, 9,072 and 2,152.72 is: 3,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.40 : 9,072 = 2,152.72 : x
  2. Step 2: Convert to fraction form
    6,048.40/9,072 = 2,152.72/x
  3. Step 3: Cross multiply
    6,048.40x = 9,072 × 2,152.72
  4. Step 4: Simplify right side
    6,048.40x = 19,529,475.84
  5. Step 5: Solve for x
    x = 19,529,475.84/6,048.40
  6. Step 6: Final answer
    x = 3,228.87

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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.