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Finding the Fourth Proportional to 4,594.54, 6,333.19 and 4,213.17

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Solution

The fourth proportional to 4,594.54, 6,333.19 and 4,213.17 is: 5,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.54 : 6,333.19 = 4,213.17 : x
  2. Step 2: Convert to fraction form
    4,594.54/6,333.19 = 4,213.17/x
  3. Step 3: Cross multiply
    4,594.54x = 6,333.19 × 4,213.17
  4. Step 4: Simplify right side
    4,594.54x = 26,682,806.11
  5. Step 5: Solve for x
    x = 26,682,806.11/4,594.54
  6. Step 6: Final answer
    x = 5,807.50

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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.