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Finding the Fourth Proportional to 4,762.71, 6,570.33 and 3,084.66

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Solution

The fourth proportional to 4,762.71, 6,570.33 and 3,084.66 is: 4,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.71 : 6,570.33 = 3,084.66 : x
  2. Step 2: Convert to fraction form
    4,762.71/6,570.33 = 3,084.66/x
  3. Step 3: Cross multiply
    4,762.71x = 6,570.33 × 3,084.66
  4. Step 4: Simplify right side
    4,762.71x = 20,267,234.14
  5. Step 5: Solve for x
    x = 20,267,234.14/4,762.71
  6. Step 6: Final answer
    x = 4,255.40

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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.