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Finding the Fourth Proportional to 8,362.57, 11,539.04 and 4,825.11

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Solution

The fourth proportional to 8,362.57, 11,539.04 and 4,825.11 is: 6,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.57 : 11,539.04 = 4,825.11 : x
  2. Step 2: Convert to fraction form
    8,362.57/11,539.04 = 4,825.11/x
  3. Step 3: Cross multiply
    8,362.57x = 11,539.04 × 4,825.11
  4. Step 4: Simplify right side
    8,362.57x = 55,677,055.47
  5. Step 5: Solve for x
    x = 55,677,055.47/8,362.57
  6. Step 6: Final answer
    x = 6,657.89

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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.