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Finding the Fourth Proportional to 5,533.66, 7,638.06 and 4,422.34

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Solution

The fourth proportional to 5,533.66, 7,638.06 and 4,422.34 is: 6,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.66 : 7,638.06 = 4,422.34 : x
  2. Step 2: Convert to fraction form
    5,533.66/7,638.06 = 4,422.34/x
  3. Step 3: Cross multiply
    5,533.66x = 7,638.06 × 4,422.34
  4. Step 4: Simplify right side
    5,533.66x = 33,778,098.26
  5. Step 5: Solve for x
    x = 33,778,098.26/5,533.66
  6. Step 6: Final answer
    x = 6,104.12

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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.