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Finding the Fourth Proportional to 7,811.75, 10,780.16 and 4,274.96

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Solution

The fourth proportional to 7,811.75, 10,780.16 and 4,274.96 is: 5,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.75 : 10,780.16 = 4,274.96 : x
  2. Step 2: Convert to fraction form
    7,811.75/10,780.16 = 4,274.96/x
  3. Step 3: Cross multiply
    7,811.75x = 10,780.16 × 4,274.96
  4. Step 4: Simplify right side
    7,811.75x = 46,084,677.52
  5. Step 5: Solve for x
    x = 46,084,677.52/7,811.75
  6. Step 6: Final answer
    x = 5,899.40

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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.