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Finding the Fourth Proportional to 7,841.34, 10,820.97 and 4,304.46

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Solution

The fourth proportional to 7,841.34, 10,820.97 and 4,304.46 is: 5,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.34 : 10,820.97 = 4,304.46 : x
  2. Step 2: Convert to fraction form
    7,841.34/10,820.97 = 4,304.46/x
  3. Step 3: Cross multiply
    7,841.34x = 10,820.97 × 4,304.46
  4. Step 4: Simplify right side
    7,841.34x = 46,578,432.53
  5. Step 5: Solve for x
    x = 46,578,432.53/7,841.34
  6. Step 6: Final answer
    x = 5,940.11

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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.