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Finding the Fourth Proportional to 8,264.35, 11,404.79 and 4,538.35

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Solution

The fourth proportional to 8,264.35, 11,404.79 and 4,538.35 is: 6,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.35 : 11,404.79 = 4,538.35 : x
  2. Step 2: Convert to fraction form
    8,264.35/11,404.79 = 4,538.35/x
  3. Step 3: Cross multiply
    8,264.35x = 11,404.79 × 4,538.35
  4. Step 4: Simplify right side
    8,264.35x = 51,758,911.53
  5. Step 5: Solve for x
    x = 51,758,911.53/8,264.35
  6. Step 6: Final answer
    x = 6,262.92

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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.