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Finding the Fourth Proportional to 11,629.62, 16,053 and 6,913.88

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Solution

The fourth proportional to 11,629.62, 16,053 and 6,913.88 is: 9,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.62 : 16,053 = 6,913.88 : x
  2. Step 2: Convert to fraction form
    11,629.62/16,053 = 6,913.88/x
  3. Step 3: Cross multiply
    11,629.62x = 16,053 × 6,913.88
  4. Step 4: Simplify right side
    11,629.62x = 110,988,515.64
  5. Step 5: Solve for x
    x = 110,988,515.64/11,629.62
  6. Step 6: Final answer
    x = 9,543.61

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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.