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Finding the Fourth Proportional to 9,772.96, 13,486.88 and 5,524.88

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Solution

The fourth proportional to 9,772.96, 13,486.88 and 5,524.88 is: 7,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.96 : 13,486.88 = 5,524.88 : x
  2. Step 2: Convert to fraction form
    9,772.96/13,486.88 = 5,524.88/x
  3. Step 3: Cross multiply
    9,772.96x = 13,486.88 × 5,524.88
  4. Step 4: Simplify right side
    9,772.96x = 74,513,393.57
  5. Step 5: Solve for x
    x = 74,513,393.57/9,772.96
  6. Step 6: Final answer
    x = 7,624.44

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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.