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Finding the Fourth Proportional to 11,047.44, 16,547.76 and 8,278.32

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Solution

The fourth proportional to 11,047.44, 16,547.76 and 8,278.32 is: 12,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.44 : 16,547.76 = 8,278.32 : x
  2. Step 2: Convert to fraction form
    11,047.44/16,547.76 = 8,278.32/x
  3. Step 3: Cross multiply
    11,047.44x = 16,547.76 × 8,278.32
  4. Step 4: Simplify right side
    11,047.44x = 136,987,652.56
  5. Step 5: Solve for x
    x = 136,987,652.56/11,047.44
  6. Step 6: Final answer
    x = 12,399.95

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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.