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Finding the Fourth Proportional to 6,510.29, 8,982.65 and 3,677.72

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Solution

The fourth proportional to 6,510.29, 8,982.65 and 3,677.72 is: 5,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.29 : 8,982.65 = 3,677.72 : x
  2. Step 2: Convert to fraction form
    6,510.29/8,982.65 = 3,677.72/x
  3. Step 3: Cross multiply
    6,510.29x = 8,982.65 × 3,677.72
  4. Step 4: Simplify right side
    6,510.29x = 33,035,653.17
  5. Step 5: Solve for x
    x = 33,035,653.17/6,510.29
  6. Step 6: Final answer
    x = 5,074.38

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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.