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Finding the Fourth Proportional to 6,099.04, 9,148.48 and 1,482

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Solution

The fourth proportional to 6,099.04, 9,148.48 and 1,482 is: 2,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.04 : 9,148.48 = 1,482 : x
  2. Step 2: Convert to fraction form
    6,099.04/9,148.48 = 1,482/x
  3. Step 3: Cross multiply
    6,099.04x = 9,148.48 × 1,482
  4. Step 4: Simplify right side
    6,099.04x = 13,558,047.36
  5. Step 5: Solve for x
    x = 13,558,047.36/6,099.04
  6. Step 6: Final answer
    x = 2,222.98

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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.