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Finding the Fourth Proportional to 7,083.69, 9,775.73 and 3,897.12

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Solution

The fourth proportional to 7,083.69, 9,775.73 and 3,897.12 is: 5,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.69 : 9,775.73 = 3,897.12 : x
  2. Step 2: Convert to fraction form
    7,083.69/9,775.73 = 3,897.12/x
  3. Step 3: Cross multiply
    7,083.69x = 9,775.73 × 3,897.12
  4. Step 4: Simplify right side
    7,083.69x = 38,097,192.90
  5. Step 5: Solve for x
    x = 38,097,192.90/7,083.69
  6. Step 6: Final answer
    x = 5,378.16

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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.