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Finding the Fourth Proportional to 11,967.49, 16,513.71 and 6,931.01

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Solution

The fourth proportional to 11,967.49, 16,513.71 and 6,931.01 is: 9,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.49 : 16,513.71 = 6,931.01 : x
  2. Step 2: Convert to fraction form
    11,967.49/16,513.71 = 6,931.01/x
  3. Step 3: Cross multiply
    11,967.49x = 16,513.71 × 6,931.01
  4. Step 4: Simplify right side
    11,967.49x = 114,456,654.49
  5. Step 5: Solve for x
    x = 114,456,654.49/11,967.49
  6. Step 6: Final answer
    x = 9,563.96

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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.