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Finding the Fourth Proportional to 6,507.64, 9,777.51 and 4,168.67

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Solution

The fourth proportional to 6,507.64, 9,777.51 and 4,168.67 is: 6,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.64 : 9,777.51 = 4,168.67 : x
  2. Step 2: Convert to fraction form
    6,507.64/9,777.51 = 4,168.67/x
  3. Step 3: Cross multiply
    6,507.64x = 9,777.51 × 4,168.67
  4. Step 4: Simplify right side
    6,507.64x = 40,759,163.72
  5. Step 5: Solve for x
    x = 40,759,163.72/6,507.64
  6. Step 6: Final answer
    x = 6,263.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.