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Finding the Fourth Proportional to 4,598.12, 6,894.74 and 4,238.48

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Solution

The fourth proportional to 4,598.12, 6,894.74 and 4,238.48 is: 6,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.12 : 6,894.74 = 4,238.48 : x
  2. Step 2: Convert to fraction form
    4,598.12/6,894.74 = 4,238.48/x
  3. Step 3: Cross multiply
    4,598.12x = 6,894.74 × 4,238.48
  4. Step 4: Simplify right side
    4,598.12x = 29,223,217.60
  5. Step 5: Solve for x
    x = 29,223,217.60/4,598.12
  6. Step 6: Final answer
    x = 6,355.47

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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.