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Finding the Fourth Proportional to 6,849, 9,471.06 and 6,539.58

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Solution

The fourth proportional to 6,849, 9,471.06 and 6,539.58 is: 9,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849 : 9,471.06 = 6,539.58 : x
  2. Step 2: Convert to fraction form
    6,849/9,471.06 = 6,539.58/x
  3. Step 3: Cross multiply
    6,849x = 9,471.06 × 6,539.58
  4. Step 4: Simplify right side
    6,849x = 61,936,754.55
  5. Step 5: Solve for x
    x = 61,936,754.55/6,849
  6. Step 6: Final answer
    x = 9,043.18

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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.