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Finding the Fourth Proportional to 8,535.63, 11,780.40 and 8,162.04

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Solution

The fourth proportional to 8,535.63, 11,780.40 and 8,162.04 is: 11,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.63 : 11,780.40 = 8,162.04 : x
  2. Step 2: Convert to fraction form
    8,535.63/11,780.40 = 8,162.04/x
  3. Step 3: Cross multiply
    8,535.63x = 11,780.40 × 8,162.04
  4. Step 4: Simplify right side
    8,535.63x = 96,152,096.02
  5. Step 5: Solve for x
    x = 96,152,096.02/8,535.63
  6. Step 6: Final answer
    x = 11,264.79

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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.