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Finding the Fourth Proportional to 12,664.96, 17,475.54 and 7,627.96

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Solution

The fourth proportional to 12,664.96, 17,475.54 and 7,627.96 is: 10,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.96 : 17,475.54 = 7,627.96 : x
  2. Step 2: Convert to fraction form
    12,664.96/17,475.54 = 7,627.96/x
  3. Step 3: Cross multiply
    12,664.96x = 17,475.54 × 7,627.96
  4. Step 4: Simplify right side
    12,664.96x = 133,302,720.10
  5. Step 5: Solve for x
    x = 133,302,720.10/12,664.96
  6. Step 6: Final answer
    x = 10,525.32

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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.