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Finding the Fourth Proportional to 5,676.94, 7,822.47 and 5,600.39

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Solution

The fourth proportional to 5,676.94, 7,822.47 and 5,600.39 is: 7,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.94 : 7,822.47 = 5,600.39 : x
  2. Step 2: Convert to fraction form
    5,676.94/7,822.47 = 5,600.39/x
  3. Step 3: Cross multiply
    5,676.94x = 7,822.47 × 5,600.39
  4. Step 4: Simplify right side
    5,676.94x = 43,808,902.32
  5. Step 5: Solve for x
    x = 43,808,902.32/5,676.94
  6. Step 6: Final answer
    x = 7,717.00

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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.