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Finding the Fourth Proportional to 7,674.16, 11,495.99 and 5,913.05

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Solution

The fourth proportional to 7,674.16, 11,495.99 and 5,913.05 is: 8,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.16 : 11,495.99 = 5,913.05 : x
  2. Step 2: Convert to fraction form
    7,674.16/11,495.99 = 5,913.05/x
  3. Step 3: Cross multiply
    7,674.16x = 11,495.99 × 5,913.05
  4. Step 4: Simplify right side
    7,674.16x = 67,976,398.11
  5. Step 5: Solve for x
    x = 67,976,398.11/7,674.16
  6. Step 6: Final answer
    x = 8,857.83

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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.