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Finding the Fourth Proportional to 12,304.50, 16,980.27 and 6,715.50

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Solution

The fourth proportional to 12,304.50, 16,980.27 and 6,715.50 is: 9,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.50 : 16,980.27 = 6,715.50 : x
  2. Step 2: Convert to fraction form
    12,304.50/16,980.27 = 6,715.50/x
  3. Step 3: Cross multiply
    12,304.50x = 16,980.27 × 6,715.50
  4. Step 4: Simplify right side
    12,304.50x = 114,031,003.19
  5. Step 5: Solve for x
    x = 114,031,003.19/12,304.50
  6. Step 6: Final answer
    x = 9,267.42

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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.