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Finding the Fourth Proportional to 8,412.54, 11,609.15 and 4,876.08

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Solution

The fourth proportional to 8,412.54, 11,609.15 and 4,876.08 is: 6,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.54 : 11,609.15 = 4,876.08 : x
  2. Step 2: Convert to fraction form
    8,412.54/11,609.15 = 4,876.08/x
  3. Step 3: Cross multiply
    8,412.54x = 11,609.15 × 4,876.08
  4. Step 4: Simplify right side
    8,412.54x = 56,607,144.13
  5. Step 5: Solve for x
    x = 56,607,144.13/8,412.54
  6. Step 6: Final answer
    x = 6,728.90

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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.