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Finding the Fourth Proportional to 11,955.10, 16,499.35 and 6,919.24

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Solution

The fourth proportional to 11,955.10, 16,499.35 and 6,919.24 is: 9,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.10 : 16,499.35 = 6,919.24 : x
  2. Step 2: Convert to fraction form
    11,955.10/16,499.35 = 6,919.24/x
  3. Step 3: Cross multiply
    11,955.10x = 16,499.35 × 6,919.24
  4. Step 4: Simplify right side
    11,955.10x = 114,162,962.49
  5. Step 5: Solve for x
    x = 114,162,962.49/11,955.10
  6. Step 6: Final answer
    x = 9,549.31

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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.