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Finding the Fourth Proportional to 6,352.14, 8,774.91 and 4,593

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Solution

The fourth proportional to 6,352.14, 8,774.91 and 4,593 is: 6,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.14 : 8,774.91 = 4,593 : x
  2. Step 2: Convert to fraction form
    6,352.14/8,774.91 = 4,593/x
  3. Step 3: Cross multiply
    6,352.14x = 8,774.91 × 4,593
  4. Step 4: Simplify right side
    6,352.14x = 40,303,161.63
  5. Step 5: Solve for x
    x = 40,303,161.63/6,352.14
  6. Step 6: Final answer
    x = 6,344.82

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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.