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Finding the Fourth Proportional to 7,884.70, 10,880.73 and 4,348.06

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Solution

The fourth proportional to 7,884.70, 10,880.73 and 4,348.06 is: 6,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.70 : 10,880.73 = 4,348.06 : x
  2. Step 2: Convert to fraction form
    7,884.70/10,880.73 = 4,348.06/x
  3. Step 3: Cross multiply
    7,884.70x = 10,880.73 × 4,348.06
  4. Step 4: Simplify right side
    7,884.70x = 47,310,066.88
  5. Step 5: Solve for x
    x = 47,310,066.88/7,884.70
  6. Step 6: Final answer
    x = 6,000.24

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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.