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Finding the Fourth Proportional to 4,614.87, 6,922.32 and 1,152.12

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Solution

The fourth proportional to 4,614.87, 6,922.32 and 1,152.12 is: 1,728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.87 : 6,922.32 = 1,152.12 : x
  2. Step 2: Convert to fraction form
    4,614.87/6,922.32 = 1,152.12/x
  3. Step 3: Cross multiply
    4,614.87x = 6,922.32 × 1,152.12
  4. Step 4: Simplify right side
    4,614.87x = 7,975,343.32
  5. Step 5: Solve for x
    x = 7,975,343.32/4,614.87
  6. Step 6: Final answer
    x = 1,728.18

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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.