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Finding the Fourth Proportional to 8,298.80, 12,415.80 and 5,382.80

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Solution

The fourth proportional to 8,298.80, 12,415.80 and 5,382.80 is: 8,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.80 : 12,415.80 = 5,382.80 : x
  2. Step 2: Convert to fraction form
    8,298.80/12,415.80 = 5,382.80/x
  3. Step 3: Cross multiply
    8,298.80x = 12,415.80 × 5,382.80
  4. Step 4: Simplify right side
    8,298.80x = 66,831,768.24
  5. Step 5: Solve for x
    x = 66,831,768.24/8,298.80
  6. Step 6: Final answer
    x = 8,053.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.