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Finding the Fourth Proportional to 6,588.23, 9,886.23 and 2,431.16

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Solution

The fourth proportional to 6,588.23, 9,886.23 and 2,431.16 is: 3,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.23 : 9,886.23 = 2,431.16 : x
  2. Step 2: Convert to fraction form
    6,588.23/9,886.23 = 2,431.16/x
  3. Step 3: Cross multiply
    6,588.23x = 9,886.23 × 2,431.16
  4. Step 4: Simplify right side
    6,588.23x = 24,034,957.50
  5. Step 5: Solve for x
    x = 24,034,957.50/6,588.23
  6. Step 6: Final answer
    x = 3,648.17

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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.