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Finding the Fourth Proportional to 11,097.76, 16,646.72 and 3,306.64

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Solution

The fourth proportional to 11,097.76, 16,646.72 and 3,306.64 is: 4,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.76 : 16,646.72 = 3,306.64 : x
  2. Step 2: Convert to fraction form
    11,097.76/16,646.72 = 3,306.64/x
  3. Step 3: Cross multiply
    11,097.76x = 16,646.72 × 3,306.64
  4. Step 4: Simplify right side
    11,097.76x = 55,044,710.22
  5. Step 5: Solve for x
    x = 55,044,710.22/11,097.76
  6. Step 6: Final answer
    x = 4,959.98

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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.