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Finding the Fourth Proportional to 7,696.63, 10,621.35 and 4,384.63

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Solution

The fourth proportional to 7,696.63, 10,621.35 and 4,384.63 is: 6,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.63 : 10,621.35 = 4,384.63 : x
  2. Step 2: Convert to fraction form
    7,696.63/10,621.35 = 4,384.63/x
  3. Step 3: Cross multiply
    7,696.63x = 10,621.35 × 4,384.63
  4. Step 4: Simplify right side
    7,696.63x = 46,570,614.82
  5. Step 5: Solve for x
    x = 46,570,614.82/7,696.63
  6. Step 6: Final answer
    x = 6,050.78

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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.