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Finding the Fourth Proportional to 8,430.76, 12,635.90 and 5,966.30

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Solution

The fourth proportional to 8,430.76, 12,635.90 and 5,966.30 is: 8,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.76 : 12,635.90 = 5,966.30 : x
  2. Step 2: Convert to fraction form
    8,430.76/12,635.90 = 5,966.30/x
  3. Step 3: Cross multiply
    8,430.76x = 12,635.90 × 5,966.30
  4. Step 4: Simplify right side
    8,430.76x = 75,389,570.17
  5. Step 5: Solve for x
    x = 75,389,570.17/8,430.76
  6. Step 6: Final answer
    x = 8,942.20

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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.