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Finding the Fourth Proportional to 7,954.72, 10,976.72 and 4,597.27

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Solution

The fourth proportional to 7,954.72, 10,976.72 and 4,597.27 is: 6,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.72 : 10,976.72 = 4,597.27 : x
  2. Step 2: Convert to fraction form
    7,954.72/10,976.72 = 4,597.27/x
  3. Step 3: Cross multiply
    7,954.72x = 10,976.72 × 4,597.27
  4. Step 4: Simplify right side
    7,954.72x = 50,462,895.13
  5. Step 5: Solve for x
    x = 50,462,895.13/7,954.72
  6. Step 6: Final answer
    x = 6,343.77

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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.