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Finding the Fourth Proportional to 8,362.86, 11,535.90 and 6,953.46

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Solution

The fourth proportional to 8,362.86, 11,535.90 and 6,953.46 is: 9,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.86 : 11,535.90 = 6,953.46 : x
  2. Step 2: Convert to fraction form
    8,362.86/11,535.90 = 6,953.46/x
  3. Step 3: Cross multiply
    8,362.86x = 11,535.90 × 6,953.46
  4. Step 4: Simplify right side
    8,362.86x = 80,214,419.21
  5. Step 5: Solve for x
    x = 80,214,419.21/8,362.86
  6. Step 6: Final answer
    x = 9,591.74

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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.