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Finding the Fourth Proportional to 6,345.84, 8,756.05 and 4,107.41

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Solution

The fourth proportional to 6,345.84, 8,756.05 and 4,107.41 is: 5,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.84 : 8,756.05 = 4,107.41 : x
  2. Step 2: Convert to fraction form
    6,345.84/8,756.05 = 4,107.41/x
  3. Step 3: Cross multiply
    6,345.84x = 8,756.05 × 4,107.41
  4. Step 4: Simplify right side
    6,345.84x = 35,964,671.25
  5. Step 5: Solve for x
    x = 35,964,671.25/6,345.84
  6. Step 6: Final answer
    x = 5,667.44

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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.