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Finding the Fourth Proportional to 7,276.10, 10,916.16 and 2,896.63

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Solution

The fourth proportional to 7,276.10, 10,916.16 and 2,896.63 is: 4,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.10 : 10,916.16 = 2,896.63 : x
  2. Step 2: Convert to fraction form
    7,276.10/10,916.16 = 2,896.63/x
  3. Step 3: Cross multiply
    7,276.10x = 10,916.16 × 2,896.63
  4. Step 4: Simplify right side
    7,276.10x = 31,620,007.48
  5. Step 5: Solve for x
    x = 31,620,007.48/7,276.10
  6. Step 6: Final answer
    x = 4,345.74

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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.