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Finding the Fourth Proportional to 6,094.85, 9,128.70 and 4,698

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Solution

The fourth proportional to 6,094.85, 9,128.70 and 4,698 is: 7,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.85 : 9,128.70 = 4,698 : x
  2. Step 2: Convert to fraction form
    6,094.85/9,128.70 = 4,698/x
  3. Step 3: Cross multiply
    6,094.85x = 9,128.70 × 4,698
  4. Step 4: Simplify right side
    6,094.85x = 42,886,632.60
  5. Step 5: Solve for x
    x = 42,886,632.60/6,094.85
  6. Step 6: Final answer
    x = 7,036.54

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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.