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Finding the Fourth Proportional to 12,566.13, 18,842.02 and 5,164.50

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Solution

The fourth proportional to 12,566.13, 18,842.02 and 5,164.50 is: 7,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.13 : 18,842.02 = 5,164.50 : x
  2. Step 2: Convert to fraction form
    12,566.13/18,842.02 = 5,164.50/x
  3. Step 3: Cross multiply
    12,566.13x = 18,842.02 × 5,164.50
  4. Step 4: Simplify right side
    12,566.13x = 97,309,599.38
  5. Step 5: Solve for x
    x = 97,309,599.38/12,566.13
  6. Step 6: Final answer
    x = 7,743.80

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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.