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Finding the Fourth Proportional to 7,089.07, 9,782.82 and 3,945.25

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Solution

The fourth proportional to 7,089.07, 9,782.82 and 3,945.25 is: 5,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.07 : 9,782.82 = 3,945.25 : x
  2. Step 2: Convert to fraction form
    7,089.07/9,782.82 = 3,945.25/x
  3. Step 3: Cross multiply
    7,089.07x = 9,782.82 × 3,945.25
  4. Step 4: Simplify right side
    7,089.07x = 38,595,692.50
  5. Step 5: Solve for x
    x = 38,595,692.50/7,089.07
  6. Step 6: Final answer
    x = 5,444.40

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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.