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Finding the Fourth Proportional to 7,522.01, 11,284.94 and 2,257

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Solution

The fourth proportional to 7,522.01, 11,284.94 and 2,257 is: 3,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.01 : 11,284.94 = 2,257 : x
  2. Step 2: Convert to fraction form
    7,522.01/11,284.94 = 2,257/x
  3. Step 3: Cross multiply
    7,522.01x = 11,284.94 × 2,257
  4. Step 4: Simplify right side
    7,522.01x = 25,470,109.58
  5. Step 5: Solve for x
    x = 25,470,109.58/7,522.01
  6. Step 6: Final answer
    x = 3,386.08

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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.