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Finding the Fourth Proportional to 7,697.95, 10,623.16 and 4,161.17

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Solution

The fourth proportional to 7,697.95, 10,623.16 and 4,161.17 is: 5,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.95 : 10,623.16 = 4,161.17 : x
  2. Step 2: Convert to fraction form
    7,697.95/10,623.16 = 4,161.17/x
  3. Step 3: Cross multiply
    7,697.95x = 10,623.16 × 4,161.17
  4. Step 4: Simplify right side
    7,697.95x = 44,204,711.18
  5. Step 5: Solve for x
    x = 44,204,711.18/7,697.95
  6. Step 6: Final answer
    x = 5,742.40

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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.