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Finding the Fourth Proportional to 6,509.14, 8,982.08 and 3,820.07

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Solution

The fourth proportional to 6,509.14, 8,982.08 and 3,820.07 is: 5,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.14 : 8,982.08 = 3,820.07 : x
  2. Step 2: Convert to fraction form
    6,509.14/8,982.08 = 3,820.07/x
  3. Step 3: Cross multiply
    6,509.14x = 8,982.08 × 3,820.07
  4. Step 4: Simplify right side
    6,509.14x = 34,312,199.28
  5. Step 5: Solve for x
    x = 34,312,199.28/6,509.14
  6. Step 6: Final answer
    x = 5,271.38

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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.