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Finding the Fourth Proportional to 4,654.06, 6,971.79 and 2,804.20

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Solution

The fourth proportional to 4,654.06, 6,971.79 and 2,804.20 is: 4,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.06 : 6,971.79 = 2,804.20 : x
  2. Step 2: Convert to fraction form
    4,654.06/6,971.79 = 2,804.20/x
  3. Step 3: Cross multiply
    4,654.06x = 6,971.79 × 2,804.20
  4. Step 4: Simplify right side
    4,654.06x = 19,550,293.52
  5. Step 5: Solve for x
    x = 19,550,293.52/4,654.06
  6. Step 6: Final answer
    x = 4,200.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.