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Finding the Fourth Proportional to 7,884.68, 10,880.68 and 4,348.12

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Solution

The fourth proportional to 7,884.68, 10,880.68 and 4,348.12 is: 6,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.68 : 10,880.68 = 4,348.12 : x
  2. Step 2: Convert to fraction form
    7,884.68/10,880.68 = 4,348.12/x
  3. Step 3: Cross multiply
    7,884.68x = 10,880.68 × 4,348.12
  4. Step 4: Simplify right side
    7,884.68x = 47,310,502.32
  5. Step 5: Solve for x
    x = 47,310,502.32/7,884.68
  6. Step 6: Final answer
    x = 6,000.31

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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.