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Finding the Fourth Proportional to 6,596.51, 9,896.45 and 4,862.16

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Solution

The fourth proportional to 6,596.51, 9,896.45 and 4,862.16 is: 7,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.51 : 9,896.45 = 4,862.16 : x
  2. Step 2: Convert to fraction form
    6,596.51/9,896.45 = 4,862.16/x
  3. Step 3: Cross multiply
    6,596.51x = 9,896.45 × 4,862.16
  4. Step 4: Simplify right side
    6,596.51x = 48,118,099.02
  5. Step 5: Solve for x
    x = 48,118,099.02/6,596.51
  6. Step 6: Final answer
    x = 7,294.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.