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Finding the Fourth Proportional to 9,759.68, 13,463.07 and 5,984.67

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Solution

The fourth proportional to 9,759.68, 13,463.07 and 5,984.67 is: 8,255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.68 : 13,463.07 = 5,984.67 : x
  2. Step 2: Convert to fraction form
    9,759.68/13,463.07 = 5,984.67/x
  3. Step 3: Cross multiply
    9,759.68x = 13,463.07 × 5,984.67
  4. Step 4: Simplify right side
    9,759.68x = 80,572,031.14
  5. Step 5: Solve for x
    x = 80,572,031.14/9,759.68
  6. Step 6: Final answer
    x = 8,255.60

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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.