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Finding the Fourth Proportional to 7,750.68, 10,696.04 and 4,213.88

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Solution

The fourth proportional to 7,750.68, 10,696.04 and 4,213.88 is: 5,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.68 : 10,696.04 = 4,213.88 : x
  2. Step 2: Convert to fraction form
    7,750.68/10,696.04 = 4,213.88/x
  3. Step 3: Cross multiply
    7,750.68x = 10,696.04 × 4,213.88
  4. Step 4: Simplify right side
    7,750.68x = 45,071,829.04
  5. Step 5: Solve for x
    x = 45,071,829.04/7,750.68
  6. Step 6: Final answer
    x = 5,815.21

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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.