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Finding the Fourth Proportional to 7,884.41, 10,880.46 and 4,347.63

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Solution

The fourth proportional to 7,884.41, 10,880.46 and 4,347.63 is: 5,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.41 : 10,880.46 = 4,347.63 : x
  2. Step 2: Convert to fraction form
    7,884.41/10,880.46 = 4,347.63/x
  3. Step 3: Cross multiply
    7,884.41x = 10,880.46 × 4,347.63
  4. Step 4: Simplify right side
    7,884.41x = 47,304,214.31
  5. Step 5: Solve for x
    x = 47,304,214.31/7,884.41
  6. Step 6: Final answer
    x = 5,999.72

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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.