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Finding the Fourth Proportional to 8,638.32, 11,921.76 and 5,283.12

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Solution

The fourth proportional to 8,638.32, 11,921.76 and 5,283.12 is: 7,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.32 : 11,921.76 = 5,283.12 : x
  2. Step 2: Convert to fraction form
    8,638.32/11,921.76 = 5,283.12/x
  3. Step 3: Cross multiply
    8,638.32x = 11,921.76 × 5,283.12
  4. Step 4: Simplify right side
    8,638.32x = 62,984,088.69
  5. Step 5: Solve for x
    x = 62,984,088.69/8,638.32
  6. Step 6: Final answer
    x = 7,291.24

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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.