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Finding the Fourth Proportional to 7,160.86, 9,882.98 and 4,017.25

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Solution

The fourth proportional to 7,160.86, 9,882.98 and 4,017.25 is: 5,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.86 : 9,882.98 = 4,017.25 : x
  2. Step 2: Convert to fraction form
    7,160.86/9,882.98 = 4,017.25/x
  3. Step 3: Cross multiply
    7,160.86x = 9,882.98 × 4,017.25
  4. Step 4: Simplify right side
    7,160.86x = 39,702,401.41
  5. Step 5: Solve for x
    x = 39,702,401.41/7,160.86
  6. Step 6: Final answer
    x = 5,544.36

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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.