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Finding the Fourth Proportional to 8,264.38, 11,404.93 and 4,538.38

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Solution

The fourth proportional to 8,264.38, 11,404.93 and 4,538.38 is: 6,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.38 : 11,404.93 = 4,538.38 : x
  2. Step 2: Convert to fraction form
    8,264.38/11,404.93 = 4,538.38/x
  3. Step 3: Cross multiply
    8,264.38x = 11,404.93 × 4,538.38
  4. Step 4: Simplify right side
    8,264.38x = 51,759,849.19
  5. Step 5: Solve for x
    x = 51,759,849.19/8,264.38
  6. Step 6: Final answer
    x = 6,263.01

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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.