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Finding the Fourth Proportional to 6,590.94, 9,890.06 and 2,698.08

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Solution

The fourth proportional to 6,590.94, 9,890.06 and 2,698.08 is: 4,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.94 : 9,890.06 = 2,698.08 : x
  2. Step 2: Convert to fraction form
    6,590.94/9,890.06 = 2,698.08/x
  3. Step 3: Cross multiply
    6,590.94x = 9,890.06 × 2,698.08
  4. Step 4: Simplify right side
    6,590.94x = 26,684,159.59
  5. Step 5: Solve for x
    x = 26,684,159.59/6,590.94
  6. Step 6: Final answer
    x = 4,048.61

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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.