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Finding the Fourth Proportional to 8,543.34, 11,786.31 and 5,184.54

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Solution

The fourth proportional to 8,543.34, 11,786.31 and 5,184.54 is: 7,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.34 : 11,786.31 = 5,184.54 : x
  2. Step 2: Convert to fraction form
    8,543.34/11,786.31 = 5,184.54/x
  3. Step 3: Cross multiply
    8,543.34x = 11,786.31 × 5,184.54
  4. Step 4: Simplify right side
    8,543.34x = 61,106,595.65
  5. Step 5: Solve for x
    x = 61,106,595.65/8,543.34
  6. Step 6: Final answer
    x = 7,152.54

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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.