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Finding the Fourth Proportional to 8,627.52, 11,896.54 and 5,828.16

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Solution

The fourth proportional to 8,627.52, 11,896.54 and 5,828.16 is: 8,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.52 : 11,896.54 = 5,828.16 : x
  2. Step 2: Convert to fraction form
    8,627.52/11,896.54 = 5,828.16/x
  3. Step 3: Cross multiply
    8,627.52x = 11,896.54 × 5,828.16
  4. Step 4: Simplify right side
    8,627.52x = 69,334,938.57
  5. Step 5: Solve for x
    x = 69,334,938.57/8,627.52
  6. Step 6: Final answer
    x = 8,036.49

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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.