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Finding the Fourth Proportional to 9,524.64, 14,269.68 and 7,032

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Solution

The fourth proportional to 9,524.64, 14,269.68 and 7,032 is: 10,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.64 : 14,269.68 = 7,032 : x
  2. Step 2: Convert to fraction form
    9,524.64/14,269.68 = 7,032/x
  3. Step 3: Cross multiply
    9,524.64x = 14,269.68 × 7,032
  4. Step 4: Simplify right side
    9,524.64x = 100,344,389.76
  5. Step 5: Solve for x
    x = 100,344,389.76/9,524.64
  6. Step 6: Final answer
    x = 10,535.24

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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.