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Finding the Fourth Proportional to 8,038.44, 11,986.38 and 7,502.22

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Solution

The fourth proportional to 8,038.44, 11,986.38 and 7,502.22 is: 11,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.44 : 11,986.38 = 7,502.22 : x
  2. Step 2: Convert to fraction form
    8,038.44/11,986.38 = 7,502.22/x
  3. Step 3: Cross multiply
    8,038.44x = 11,986.38 × 7,502.22
  4. Step 4: Simplify right side
    8,038.44x = 89,924,459.76
  5. Step 5: Solve for x
    x = 89,924,459.76/8,038.44
  6. Step 6: Final answer
    x = 11,186.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.