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Finding the Fourth Proportional to 7,760.46, 10,711.35 and 4,964.34

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Solution

The fourth proportional to 7,760.46, 10,711.35 and 4,964.34 is: 6,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.46 : 10,711.35 = 4,964.34 : x
  2. Step 2: Convert to fraction form
    7,760.46/10,711.35 = 4,964.34/x
  3. Step 3: Cross multiply
    7,760.46x = 10,711.35 × 4,964.34
  4. Step 4: Simplify right side
    7,760.46x = 53,174,783.26
  5. Step 5: Solve for x
    x = 53,174,783.26/7,760.46
  6. Step 6: Final answer
    x = 6,852.01

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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.