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Finding the Fourth Proportional to 7,056, 9,737.28 and 4,260.96

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Solution

The fourth proportional to 7,056, 9,737.28 and 4,260.96 is: 5,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056 : 9,737.28 = 4,260.96 : x
  2. Step 2: Convert to fraction form
    7,056/9,737.28 = 4,260.96/x
  3. Step 3: Cross multiply
    7,056x = 9,737.28 × 4,260.96
  4. Step 4: Simplify right side
    7,056x = 41,490,160.59
  5. Step 5: Solve for x
    x = 41,490,160.59/7,056
  6. Step 6: Final answer
    x = 5,880.12

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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.