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Finding the Fourth Proportional to 7,824.08, 10,774.48 and 7,323.81

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Solution

The fourth proportional to 7,824.08, 10,774.48 and 7,323.81 is: 10,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.08 : 10,774.48 = 7,323.81 : x
  2. Step 2: Convert to fraction form
    7,824.08/10,774.48 = 7,323.81/x
  3. Step 3: Cross multiply
    7,824.08x = 10,774.48 × 7,323.81
  4. Step 4: Simplify right side
    7,824.08x = 78,910,244.37
  5. Step 5: Solve for x
    x = 78,910,244.37/7,824.08
  6. Step 6: Final answer
    x = 10,085.56

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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.