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Finding the Fourth Proportional to 6,231.76, 8,602.13 and 3,842.13

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Solution

The fourth proportional to 6,231.76, 8,602.13 and 3,842.13 is: 5,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.76 : 8,602.13 = 3,842.13 : x
  2. Step 2: Convert to fraction form
    6,231.76/8,602.13 = 3,842.13/x
  3. Step 3: Cross multiply
    6,231.76x = 8,602.13 × 3,842.13
  4. Step 4: Simplify right side
    6,231.76x = 33,050,501.74
  5. Step 5: Solve for x
    x = 33,050,501.74/6,231.76
  6. Step 6: Final answer
    x = 5,303.56

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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.