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Finding the Fourth Proportional to 6,688.99, 9,230.56 and 3,664.07

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Solution

The fourth proportional to 6,688.99, 9,230.56 and 3,664.07 is: 5,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.99 : 9,230.56 = 3,664.07 : x
  2. Step 2: Convert to fraction form
    6,688.99/9,230.56 = 3,664.07/x
  3. Step 3: Cross multiply
    6,688.99x = 9,230.56 × 3,664.07
  4. Step 4: Simplify right side
    6,688.99x = 33,821,397.28
  5. Step 5: Solve for x
    x = 33,821,397.28/6,688.99
  6. Step 6: Final answer
    x = 5,056.28

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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.