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Finding the Fourth Proportional to 7,686.88, 10,608.50 and 4,543.67

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Solution

The fourth proportional to 7,686.88, 10,608.50 and 4,543.67 is: 6,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.88 : 10,608.50 = 4,543.67 : x
  2. Step 2: Convert to fraction form
    7,686.88/10,608.50 = 4,543.67/x
  3. Step 3: Cross multiply
    7,686.88x = 10,608.50 × 4,543.67
  4. Step 4: Simplify right side
    7,686.88x = 48,201,523.20
  5. Step 5: Solve for x
    x = 48,201,523.20/7,686.88
  6. Step 6: Final answer
    x = 6,270.62

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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.