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Finding the Fourth Proportional to 7,194.30, 9,916.47 and 5,204.94

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Solution

The fourth proportional to 7,194.30, 9,916.47 and 5,204.94 is: 7,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.30 : 9,916.47 = 5,204.94 : x
  2. Step 2: Convert to fraction form
    7,194.30/9,916.47 = 5,204.94/x
  3. Step 3: Cross multiply
    7,194.30x = 9,916.47 × 5,204.94
  4. Step 4: Simplify right side
    7,194.30x = 51,614,631.36
  5. Step 5: Solve for x
    x = 51,614,631.36/7,194.30
  6. Step 6: Final answer
    x = 7,174.38

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1.5x scale

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.