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Finding the Fourth Proportional to 7,966.54, 10,993.89 and 4,820.50

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Solution

The fourth proportional to 7,966.54, 10,993.89 and 4,820.50 is: 6,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.54 : 10,993.89 = 4,820.50 : x
  2. Step 2: Convert to fraction form
    7,966.54/10,993.89 = 4,820.50/x
  3. Step 3: Cross multiply
    7,966.54x = 10,993.89 × 4,820.50
  4. Step 4: Simplify right side
    7,966.54x = 52,996,046.75
  5. Step 5: Solve for x
    x = 52,996,046.75/7,966.54
  6. Step 6: Final answer
    x = 6,652.33

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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.