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Finding the Fourth Proportional to 7,884.75, 10,880.67 and 4,347.75

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Solution

The fourth proportional to 7,884.75, 10,880.67 and 4,347.75 is: 5,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.75 : 10,880.67 = 4,347.75 : x
  2. Step 2: Convert to fraction form
    7,884.75/10,880.67 = 4,347.75/x
  3. Step 3: Cross multiply
    7,884.75x = 10,880.67 × 4,347.75
  4. Step 4: Simplify right side
    7,884.75x = 47,306,432.99
  5. Step 5: Solve for x
    x = 47,306,432.99/7,884.75
  6. Step 6: Final answer
    x = 5,999.74

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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.