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Finding the Fourth Proportional to 10,973.20, 16,459.80 and 8,021.20

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Solution

The fourth proportional to 10,973.20, 16,459.80 and 8,021.20 is: 12,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.20 : 16,459.80 = 8,021.20 : x
  2. Step 2: Convert to fraction form
    10,973.20/16,459.80 = 8,021.20/x
  3. Step 3: Cross multiply
    10,973.20x = 16,459.80 × 8,021.20
  4. Step 4: Simplify right side
    10,973.20x = 132,027,347.76
  5. Step 5: Solve for x
    x = 132,027,347.76/10,973.20
  6. Step 6: Final answer
    x = 12,031.80

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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.