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Finding the Fourth Proportional to 7,760.52, 10,713.18 and 4,967.64

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Solution

The fourth proportional to 7,760.52, 10,713.18 and 4,967.64 is: 6,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.52 : 10,713.18 = 4,967.64 : x
  2. Step 2: Convert to fraction form
    7,760.52/10,713.18 = 4,967.64/x
  3. Step 3: Cross multiply
    7,760.52x = 10,713.18 × 4,967.64
  4. Step 4: Simplify right side
    7,760.52x = 53,219,221.50
  5. Step 5: Solve for x
    x = 53,219,221.50/7,760.52
  6. Step 6: Final answer
    x = 6,857.69

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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.