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Finding the Fourth Proportional to 7,725.41, 10,654.71 and 4,739.14

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Solution

The fourth proportional to 7,725.41, 10,654.71 and 4,739.14 is: 6,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.41 : 10,654.71 = 4,739.14 : x
  2. Step 2: Convert to fraction form
    7,725.41/10,654.71 = 4,739.14/x
  3. Step 3: Cross multiply
    7,725.41x = 10,654.71 × 4,739.14
  4. Step 4: Simplify right side
    7,725.41x = 50,494,109.08
  5. Step 5: Solve for x
    x = 50,494,109.08/7,725.41
  6. Step 6: Final answer
    x = 6,536.11

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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.