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Finding the Fourth Proportional to 5,563, 7,677.06 and 3,204.76

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Solution

The fourth proportional to 5,563, 7,677.06 and 3,204.76 is: 4,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563 : 7,677.06 = 3,204.76 : x
  2. Step 2: Convert to fraction form
    5,563/7,677.06 = 3,204.76/x
  3. Step 3: Cross multiply
    5,563x = 7,677.06 × 3,204.76
  4. Step 4: Simplify right side
    5,563x = 24,603,134.81
  5. Step 5: Solve for x
    x = 24,603,134.81/5,563
  6. Step 6: Final answer
    x = 4,422.64

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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.