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Finding the Fourth Proportional to 8,537.63, 11,783.16 and 8,164.04

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Solution

The fourth proportional to 8,537.63, 11,783.16 and 8,164.04 is: 11,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.63 : 11,783.16 = 8,164.04 : x
  2. Step 2: Convert to fraction form
    8,537.63/11,783.16 = 8,164.04/x
  3. Step 3: Cross multiply
    8,537.63x = 11,783.16 × 8,164.04
  4. Step 4: Simplify right side
    8,537.63x = 96,198,130.65
  5. Step 5: Solve for x
    x = 96,198,130.65/8,537.63
  6. Step 6: Final answer
    x = 11,267.55

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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.