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Finding the Fourth Proportional to 5,663.09, 8,494.63 and 3,714.84

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Solution

The fourth proportional to 5,663.09, 8,494.63 and 3,714.84 is: 5,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.09 : 8,494.63 = 3,714.84 : x
  2. Step 2: Convert to fraction form
    5,663.09/8,494.63 = 3,714.84/x
  3. Step 3: Cross multiply
    5,663.09x = 8,494.63 × 3,714.84
  4. Step 4: Simplify right side
    5,663.09x = 31,556,191.31
  5. Step 5: Solve for x
    x = 31,556,191.31/5,663.09
  6. Step 6: Final answer
    x = 5,572.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.