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Finding the Fourth Proportional to 7,602.34, 10,488.30 and 4,768.56

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Solution

The fourth proportional to 7,602.34, 10,488.30 and 4,768.56 is: 6,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.34 : 10,488.30 = 4,768.56 : x
  2. Step 2: Convert to fraction form
    7,602.34/10,488.30 = 4,768.56/x
  3. Step 3: Cross multiply
    7,602.34x = 10,488.30 × 4,768.56
  4. Step 4: Simplify right side
    7,602.34x = 50,014,087.85
  5. Step 5: Solve for x
    x = 50,014,087.85/7,602.34
  6. Step 6: Final answer
    x = 6,578.78

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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.