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Finding the Fourth Proportional to 6,784.31, 9,362.65 and 4,265.47

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Solution

The fourth proportional to 6,784.31, 9,362.65 and 4,265.47 is: 5,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.31 : 9,362.65 = 4,265.47 : x
  2. Step 2: Convert to fraction form
    6,784.31/9,362.65 = 4,265.47/x
  3. Step 3: Cross multiply
    6,784.31x = 9,362.65 × 4,265.47
  4. Step 4: Simplify right side
    6,784.31x = 39,936,102.70
  5. Step 5: Solve for x
    x = 39,936,102.70/6,784.31
  6. Step 6: Final answer
    x = 5,886.54

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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.