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Finding the Fourth Proportional to 6,315, 9,464.06 and 4,846.94

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Solution

The fourth proportional to 6,315, 9,464.06 and 4,846.94 is: 7,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315 : 9,464.06 = 4,846.94 : x
  2. Step 2: Convert to fraction form
    6,315/9,464.06 = 4,846.94/x
  3. Step 3: Cross multiply
    6,315x = 9,464.06 × 4,846.94
  4. Step 4: Simplify right side
    6,315x = 45,871,730.98
  5. Step 5: Solve for x
    x = 45,871,730.98/6,315
  6. Step 6: Final answer
    x = 7,263.93

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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.