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Finding the Fourth Proportional to 11,963.15, 16,506.64 and 6,927.08

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Solution

The fourth proportional to 11,963.15, 16,506.64 and 6,927.08 is: 9,557.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.15 : 16,506.64 = 6,927.08 : x
  2. Step 2: Convert to fraction form
    11,963.15/16,506.64 = 6,927.08/x
  3. Step 3: Cross multiply
    11,963.15x = 16,506.64 × 6,927.08
  4. Step 4: Simplify right side
    11,963.15x = 114,342,815.81
  5. Step 5: Solve for x
    x = 114,342,815.81/11,963.15
  6. Step 6: Final answer
    x = 9,557.92

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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.