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Finding the Fourth Proportional to 6,152.76, 8,493.72 and 4,641

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Solution

The fourth proportional to 6,152.76, 8,493.72 and 4,641 is: 6,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.76 : 8,493.72 = 4,641 : x
  2. Step 2: Convert to fraction form
    6,152.76/8,493.72 = 4,641/x
  3. Step 3: Cross multiply
    6,152.76x = 8,493.72 × 4,641
  4. Step 4: Simplify right side
    6,152.76x = 39,419,354.52
  5. Step 5: Solve for x
    x = 39,419,354.52/6,152.76
  6. Step 6: Final answer
    x = 6,406.78

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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.