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Finding the Fourth Proportional to 9,651.96, 14,487.66 and 7,047

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Solution

The fourth proportional to 9,651.96, 14,487.66 and 7,047 is: 10,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.96 : 14,487.66 = 7,047 : x
  2. Step 2: Convert to fraction form
    9,651.96/14,487.66 = 7,047/x
  3. Step 3: Cross multiply
    9,651.96x = 14,487.66 × 7,047
  4. Step 4: Simplify right side
    9,651.96x = 102,094,540.02
  5. Step 5: Solve for x
    x = 102,094,540.02/9,651.96
  6. Step 6: Final answer
    x = 10,577.60

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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.