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Finding the Fourth Proportional to 6,586.53, 9,085.25 and 4,596.36

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Solution

The fourth proportional to 6,586.53, 9,085.25 and 4,596.36 is: 6,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.53 : 9,085.25 = 4,596.36 : x
  2. Step 2: Convert to fraction form
    6,586.53/9,085.25 = 4,596.36/x
  3. Step 3: Cross multiply
    6,586.53x = 9,085.25 × 4,596.36
  4. Step 4: Simplify right side
    6,586.53x = 41,759,085.57
  5. Step 5: Solve for x
    x = 41,759,085.57/6,586.53
  6. Step 6: Final answer
    x = 6,340.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.