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Finding the Fourth Proportional to 8,570.46, 12,841.45 and 8,246.30

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Solution

The fourth proportional to 8,570.46, 12,841.45 and 8,246.30 is: 12,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.46 : 12,841.45 = 8,246.30 : x
  2. Step 2: Convert to fraction form
    8,570.46/12,841.45 = 8,246.30/x
  3. Step 3: Cross multiply
    8,570.46x = 12,841.45 × 8,246.30
  4. Step 4: Simplify right side
    8,570.46x = 105,894,449.14
  5. Step 5: Solve for x
    x = 105,894,449.14/8,570.46
  6. Step 6: Final answer
    x = 12,355.75

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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.