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Finding the Fourth Proportional to 9,624, 13,272.61 and 6,263.72

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Solution

The fourth proportional to 9,624, 13,272.61 and 6,263.72 is: 8,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624 : 13,272.61 = 6,263.72 : x
  2. Step 2: Convert to fraction form
    9,624/13,272.61 = 6,263.72/x
  3. Step 3: Cross multiply
    9,624x = 13,272.61 × 6,263.72
  4. Step 4: Simplify right side
    9,624x = 83,135,912.71
  5. Step 5: Solve for x
    x = 83,135,912.71/9,624
  6. Step 6: Final answer
    x = 8,638.39

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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.