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Finding the Fourth Proportional to 8,263, 11,412.66 and 5,605.80

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Solution

The fourth proportional to 8,263, 11,412.66 and 5,605.80 is: 7,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263 : 11,412.66 = 5,605.80 : x
  2. Step 2: Convert to fraction form
    8,263/11,412.66 = 5,605.80/x
  3. Step 3: Cross multiply
    8,263x = 11,412.66 × 5,605.80
  4. Step 4: Simplify right side
    8,263x = 63,977,089.43
  5. Step 5: Solve for x
    x = 63,977,089.43/8,263
  6. Step 6: Final answer
    x = 7,742.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.