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Finding the Fourth Proportional to 8,354.65, 12,534.27 and 4,189.63

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Solution

The fourth proportional to 8,354.65, 12,534.27 and 4,189.63 is: 6,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.65 : 12,534.27 = 4,189.63 : x
  2. Step 2: Convert to fraction form
    8,354.65/12,534.27 = 4,189.63/x
  3. Step 3: Cross multiply
    8,354.65x = 12,534.27 × 4,189.63
  4. Step 4: Simplify right side
    8,354.65x = 52,513,953.62
  5. Step 5: Solve for x
    x = 52,513,953.62/8,354.65
  6. Step 6: Final answer
    x = 6,285.60

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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.