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Finding the Fourth Proportional to 4,993.84, 6,894.48 and 4,440.32

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Solution

The fourth proportional to 4,993.84, 6,894.48 and 4,440.32 is: 6,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.84 : 6,894.48 = 4,440.32 : x
  2. Step 2: Convert to fraction form
    4,993.84/6,894.48 = 4,440.32/x
  3. Step 3: Cross multiply
    4,993.84x = 6,894.48 × 4,440.32
  4. Step 4: Simplify right side
    4,993.84x = 30,613,697.43
  5. Step 5: Solve for x
    x = 30,613,697.43/4,993.84
  6. Step 6: Final answer
    x = 6,130.29

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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.