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Finding the Fourth Proportional to 7,295.71, 10,942.54 and 4,165.57

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Solution

The fourth proportional to 7,295.71, 10,942.54 and 4,165.57 is: 6,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.71 : 10,942.54 = 4,165.57 : x
  2. Step 2: Convert to fraction form
    7,295.71/10,942.54 = 4,165.57/x
  3. Step 3: Cross multiply
    7,295.71x = 10,942.54 × 4,165.57
  4. Step 4: Simplify right side
    7,295.71x = 45,581,916.35
  5. Step 5: Solve for x
    x = 45,581,916.35/7,295.71
  6. Step 6: Final answer
    x = 6,247.77

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1.5x scale

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.