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Finding the Fourth Proportional to 7,865.96, 10,853.06 and 4,993.64

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Solution

The fourth proportional to 7,865.96, 10,853.06 and 4,993.64 is: 6,889.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.96 : 10,853.06 = 4,993.64 : x
  2. Step 2: Convert to fraction form
    7,865.96/10,853.06 = 4,993.64/x
  3. Step 3: Cross multiply
    7,865.96x = 10,853.06 × 4,993.64
  4. Step 4: Simplify right side
    7,865.96x = 54,196,274.54
  5. Step 5: Solve for x
    x = 54,196,274.54/7,865.96
  6. Step 6: Final answer
    x = 6,889.98

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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.