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Finding the Fourth Proportional to 8,354.32, 11,530.23 and 4,769.26

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Solution

The fourth proportional to 8,354.32, 11,530.23 and 4,769.26 is: 6,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.32 : 11,530.23 = 4,769.26 : x
  2. Step 2: Convert to fraction form
    8,354.32/11,530.23 = 4,769.26/x
  3. Step 3: Cross multiply
    8,354.32x = 11,530.23 × 4,769.26
  4. Step 4: Simplify right side
    8,354.32x = 54,990,664.73
  5. Step 5: Solve for x
    x = 54,990,664.73/8,354.32
  6. Step 6: Final answer
    x = 6,582.30

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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.