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Finding the Fourth Proportional to 7,693.92, 10,622.64 and 5,922.24

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Solution

The fourth proportional to 7,693.92, 10,622.64 and 5,922.24 is: 8,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.92 : 10,622.64 = 5,922.24 : x
  2. Step 2: Convert to fraction form
    7,693.92/10,622.64 = 5,922.24/x
  3. Step 3: Cross multiply
    7,693.92x = 10,622.64 × 5,922.24
  4. Step 4: Simplify right side
    7,693.92x = 62,909,823.51
  5. Step 5: Solve for x
    x = 62,909,823.51/7,693.92
  6. Step 6: Final answer
    x = 8,176.56

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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.