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Finding the Fourth Proportional to 7,696.34, 10,620.94 and 4,159.55

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Solution

The fourth proportional to 7,696.34, 10,620.94 and 4,159.55 is: 5,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.34 : 10,620.94 = 4,159.55 : x
  2. Step 2: Convert to fraction form
    7,696.34/10,620.94 = 4,159.55/x
  3. Step 3: Cross multiply
    7,696.34x = 10,620.94 × 4,159.55
  4. Step 4: Simplify right side
    7,696.34x = 44,178,295.19
  5. Step 5: Solve for x
    x = 44,178,295.19/7,696.34
  6. Step 6: Final answer
    x = 5,740.17

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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.