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Finding the Fourth Proportional to 5,542.16, 7,641 and 4,594.48

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Solution

The fourth proportional to 5,542.16, 7,641 and 4,594.48 is: 6,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.16 : 7,641 = 4,594.48 : x
  2. Step 2: Convert to fraction form
    5,542.16/7,641 = 4,594.48/x
  3. Step 3: Cross multiply
    5,542.16x = 7,641 × 4,594.48
  4. Step 4: Simplify right side
    5,542.16x = 35,106,421.68
  5. Step 5: Solve for x
    x = 35,106,421.68/5,542.16
  6. Step 6: Final answer
    x = 6,334.43

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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.