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Finding the Fourth Proportional to 4,594.06, 6,916.09 and 4,185.82

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Solution

The fourth proportional to 4,594.06, 6,916.09 and 4,185.82 is: 6,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.06 : 6,916.09 = 4,185.82 : x
  2. Step 2: Convert to fraction form
    4,594.06/6,916.09 = 4,185.82/x
  3. Step 3: Cross multiply
    4,594.06x = 6,916.09 × 4,185.82
  4. Step 4: Simplify right side
    4,594.06x = 28,949,507.84
  5. Step 5: Solve for x
    x = 28,949,507.84/4,594.06
  6. Step 6: Final answer
    x = 6,301.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.