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Finding the Fourth Proportional to 5,691.63, 7,857.23 and 4,412.63

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Solution

The fourth proportional to 5,691.63, 7,857.23 and 4,412.63 is: 6,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.63 : 7,857.23 = 4,412.63 : x
  2. Step 2: Convert to fraction form
    5,691.63/7,857.23 = 4,412.63/x
  3. Step 3: Cross multiply
    5,691.63x = 7,857.23 × 4,412.63
  4. Step 4: Simplify right side
    5,691.63x = 34,671,048.81
  5. Step 5: Solve for x
    x = 34,671,048.81/5,691.63
  6. Step 6: Final answer
    x = 6,091.59

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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.