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Finding the Fourth Proportional to 8,982.49, 13,403.48 and 8,048.53

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Solution

The fourth proportional to 8,982.49, 13,403.48 and 8,048.53 is: 12,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.49 : 13,403.48 = 8,048.53 : x
  2. Step 2: Convert to fraction form
    8,982.49/13,403.48 = 8,048.53/x
  3. Step 3: Cross multiply
    8,982.49x = 13,403.48 × 8,048.53
  4. Step 4: Simplify right side
    8,982.49x = 107,878,297.50
  5. Step 5: Solve for x
    x = 107,878,297.50/8,982.49
  6. Step 6: Final answer
    x = 12,009.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.