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Finding the Fourth Proportional to 4,573.89, 6,893.06 and 4,135.64

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Solution

The fourth proportional to 4,573.89, 6,893.06 and 4,135.64 is: 6,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.89 : 6,893.06 = 4,135.64 : x
  2. Step 2: Convert to fraction form
    4,573.89/6,893.06 = 4,135.64/x
  3. Step 3: Cross multiply
    4,573.89x = 6,893.06 × 4,135.64
  4. Step 4: Simplify right side
    4,573.89x = 28,507,159.51
  5. Step 5: Solve for x
    x = 28,507,159.51/4,573.89
  6. Step 6: Final answer
    x = 6,232.59

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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.