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Finding the Fourth Proportional to 9,627.56, 13,293.54 and 7,537.64

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Solution

The fourth proportional to 9,627.56, 13,293.54 and 7,537.64 is: 10,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.56 : 13,293.54 = 7,537.64 : x
  2. Step 2: Convert to fraction form
    9,627.56/13,293.54 = 7,537.64/x
  3. Step 3: Cross multiply
    9,627.56x = 13,293.54 × 7,537.64
  4. Step 4: Simplify right side
    9,627.56x = 100,201,918.85
  5. Step 5: Solve for x
    x = 100,201,918.85/9,627.56
  6. Step 6: Final answer
    x = 10,407.82

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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.