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Finding the Fourth Proportional to 7,783.92, 10,733.28 and 5,261.64

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Solution

The fourth proportional to 7,783.92, 10,733.28 and 5,261.64 is: 7,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.92 : 10,733.28 = 5,261.64 : x
  2. Step 2: Convert to fraction form
    7,783.92/10,733.28 = 5,261.64/x
  3. Step 3: Cross multiply
    7,783.92x = 10,733.28 × 5,261.64
  4. Step 4: Simplify right side
    7,783.92x = 56,474,655.38
  5. Step 5: Solve for x
    x = 56,474,655.38/7,783.92
  6. Step 6: Final answer
    x = 7,255.30

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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.