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Finding the Fourth Proportional to 6,875.62, 9,464.38 and 5,934.40

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Solution

The fourth proportional to 6,875.62, 9,464.38 and 5,934.40 is: 8,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.62 : 9,464.38 = 5,934.40 : x
  2. Step 2: Convert to fraction form
    6,875.62/9,464.38 = 5,934.40/x
  3. Step 3: Cross multiply
    6,875.62x = 9,464.38 × 5,934.40
  4. Step 4: Simplify right side
    6,875.62x = 56,165,416.67
  5. Step 5: Solve for x
    x = 56,165,416.67/6,875.62
  6. Step 6: Final answer
    x = 8,168.78

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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.