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Finding the Fourth Proportional to 7,794.54, 10,756.50 and 4,257.84

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Solution

The fourth proportional to 7,794.54, 10,756.50 and 4,257.84 is: 5,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.54 : 10,756.50 = 4,257.84 : x
  2. Step 2: Convert to fraction form
    7,794.54/10,756.50 = 4,257.84/x
  3. Step 3: Cross multiply
    7,794.54x = 10,756.50 × 4,257.84
  4. Step 4: Simplify right side
    7,794.54x = 45,799,455.96
  5. Step 5: Solve for x
    x = 45,799,455.96/7,794.54
  6. Step 6: Final answer
    x = 5,875.84

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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.