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Finding the Fourth Proportional to 6,705.63, 9,253.71 and 3,873.60

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Solution

The fourth proportional to 6,705.63, 9,253.71 and 3,873.60 is: 5,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.63 : 9,253.71 = 3,873.60 : x
  2. Step 2: Convert to fraction form
    6,705.63/9,253.71 = 3,873.60/x
  3. Step 3: Cross multiply
    6,705.63x = 9,253.71 × 3,873.60
  4. Step 4: Simplify right side
    6,705.63x = 35,845,171.06
  5. Step 5: Solve for x
    x = 35,845,171.06/6,705.63
  6. Step 6: Final answer
    x = 5,345.53

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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.