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Finding the Fourth Proportional to 12,271.84, 16,935 and 6,682.84

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Solution

The fourth proportional to 12,271.84, 16,935 and 6,682.84 is: 9,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.84 : 16,935 = 6,682.84 : x
  2. Step 2: Convert to fraction form
    12,271.84/16,935 = 6,682.84/x
  3. Step 3: Cross multiply
    12,271.84x = 16,935 × 6,682.84
  4. Step 4: Simplify right side
    12,271.84x = 113,173,895.40
  5. Step 5: Solve for x
    x = 113,173,895.40/12,271.84
  6. Step 6: Final answer
    x = 9,222.24

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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.