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Finding the Fourth Proportional to 7,278.39, 10,048 and 4,900.86

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Solution

The fourth proportional to 7,278.39, 10,048 and 4,900.86 is: 6,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.39 : 10,048 = 4,900.86 : x
  2. Step 2: Convert to fraction form
    7,278.39/10,048 = 4,900.86/x
  3. Step 3: Cross multiply
    7,278.39x = 10,048 × 4,900.86
  4. Step 4: Simplify right side
    7,278.39x = 49,243,841.28
  5. Step 5: Solve for x
    x = 49,243,841.28/7,278.39
  6. Step 6: Final answer
    x = 6,765.76

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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.