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Finding the Fourth Proportional to 8,078.84, 11,151.65 and 6,826.55

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Solution

The fourth proportional to 8,078.84, 11,151.65 and 6,826.55 is: 9,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.84 : 11,151.65 = 6,826.55 : x
  2. Step 2: Convert to fraction form
    8,078.84/11,151.65 = 6,826.55/x
  3. Step 3: Cross multiply
    8,078.84x = 11,151.65 × 6,826.55
  4. Step 4: Simplify right side
    8,078.84x = 76,127,332.51
  5. Step 5: Solve for x
    x = 76,127,332.51/8,078.84
  6. Step 6: Final answer
    x = 9,423.05

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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.