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Finding the Fourth Proportional to 10,657.54, 14,707.65 and 5,942.11

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Solution

The fourth proportional to 10,657.54, 14,707.65 and 5,942.11 is: 8,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.54 : 14,707.65 = 5,942.11 : x
  2. Step 2: Convert to fraction form
    10,657.54/14,707.65 = 5,942.11/x
  3. Step 3: Cross multiply
    10,657.54x = 14,707.65 × 5,942.11
  4. Step 4: Simplify right side
    10,657.54x = 87,394,474.14
  5. Step 5: Solve for x
    x = 87,394,474.14/10,657.54
  6. Step 6: Final answer
    x = 8,200.25

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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.