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Finding the Fourth Proportional to 4,762.13, 6,570.21 and 3,084.82

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Solution

The fourth proportional to 4,762.13, 6,570.21 and 3,084.82 is: 4,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.13 : 6,570.21 = 3,084.82 : x
  2. Step 2: Convert to fraction form
    4,762.13/6,570.21 = 3,084.82/x
  3. Step 3: Cross multiply
    4,762.13x = 6,570.21 × 3,084.82
  4. Step 4: Simplify right side
    4,762.13x = 20,267,910.35
  5. Step 5: Solve for x
    x = 20,267,910.35/4,762.13
  6. Step 6: Final answer
    x = 4,256.06

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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.