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Finding the Fourth Proportional to 9,531.84, 14,297.64 and 9,296.54

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Solution

The fourth proportional to 9,531.84, 14,297.64 and 9,296.54 is: 13,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.84 : 14,297.64 = 9,296.54 : x
  2. Step 2: Convert to fraction form
    9,531.84/14,297.64 = 9,296.54/x
  3. Step 3: Cross multiply
    9,531.84x = 14,297.64 × 9,296.54
  4. Step 4: Simplify right side
    9,531.84x = 132,918,510.68
  5. Step 5: Solve for x
    x = 132,918,510.68/9,531.84
  6. Step 6: Final answer
    x = 13,944.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.