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Finding the Fourth Proportional to 11,284.80, 16,927.20 and 9,097.80

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Solution

The fourth proportional to 11,284.80, 16,927.20 and 9,097.80 is: 13,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.80 : 16,927.20 = 9,097.80 : x
  2. Step 2: Convert to fraction form
    11,284.80/16,927.20 = 9,097.80/x
  3. Step 3: Cross multiply
    11,284.80x = 16,927.20 × 9,097.80
  4. Step 4: Simplify right side
    11,284.80x = 154,000,280.16
  5. Step 5: Solve for x
    x = 154,000,280.16/11,284.80
  6. Step 6: Final answer
    x = 13,646.70

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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.