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Finding the Fourth Proportional to 7,046.88, 10,570.32 and 2,940

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Solution

The fourth proportional to 7,046.88, 10,570.32 and 2,940 is: 4,410

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.88 : 10,570.32 = 2,940 : x
  2. Step 2: Convert to fraction form
    7,046.88/10,570.32 = 2,940/x
  3. Step 3: Cross multiply
    7,046.88x = 10,570.32 × 2,940
  4. Step 4: Simplify right side
    7,046.88x = 31,076,740.80
  5. Step 5: Solve for x
    x = 31,076,740.80/7,046.88
  6. Step 6: Final answer
    x = 4,410

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.