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Finding the Fourth Proportional to 7,083.59, 9,775.46 and 3,897.14

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Solution

The fourth proportional to 7,083.59, 9,775.46 and 3,897.14 is: 5,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.59 : 9,775.46 = 3,897.14 : x
  2. Step 2: Convert to fraction form
    7,083.59/9,775.46 = 3,897.14/x
  3. Step 3: Cross multiply
    7,083.59x = 9,775.46 × 3,897.14
  4. Step 4: Simplify right side
    7,083.59x = 38,096,297.05
  5. Step 5: Solve for x
    x = 38,096,297.05/7,083.59
  6. Step 6: Final answer
    x = 5,378.11

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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.