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Finding the Fourth Proportional to 6,893.31, 9,509.22 and 4,655.28

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Solution

The fourth proportional to 6,893.31, 9,509.22 and 4,655.28 is: 6,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.31 : 9,509.22 = 4,655.28 : x
  2. Step 2: Convert to fraction form
    6,893.31/9,509.22 = 4,655.28/x
  3. Step 3: Cross multiply
    6,893.31x = 9,509.22 × 4,655.28
  4. Step 4: Simplify right side
    6,893.31x = 44,268,081.68
  5. Step 5: Solve for x
    x = 44,268,081.68/6,893.31
  6. Step 6: Final answer
    x = 6,421.89

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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.