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Finding the Fourth Proportional to 11,304.94, 16,964.94 and 4,646.90

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Solution

The fourth proportional to 11,304.94, 16,964.94 and 4,646.90 is: 6,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.94 : 16,964.94 = 4,646.90 : x
  2. Step 2: Convert to fraction form
    11,304.94/16,964.94 = 4,646.90/x
  3. Step 3: Cross multiply
    11,304.94x = 16,964.94 × 4,646.90
  4. Step 4: Simplify right side
    11,304.94x = 78,834,379.69
  5. Step 5: Solve for x
    x = 78,834,379.69/11,304.94
  6. Step 6: Final answer
    x = 6,973.45

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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.