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Finding the Fourth Proportional to 8,292.56, 12,421.56 and 3,678.80

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Solution

The fourth proportional to 8,292.56, 12,421.56 and 3,678.80 is: 5,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.56 : 12,421.56 = 3,678.80 : x
  2. Step 2: Convert to fraction form
    8,292.56/12,421.56 = 3,678.80/x
  3. Step 3: Cross multiply
    8,292.56x = 12,421.56 × 3,678.80
  4. Step 4: Simplify right side
    8,292.56x = 45,696,434.93
  5. Step 5: Solve for x
    x = 45,696,434.93/8,292.56
  6. Step 6: Final answer
    x = 5,510.53

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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.