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Finding the Fourth Proportional to 10,773.20, 16,159.80 and 9,477.20

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Solution

The fourth proportional to 10,773.20, 16,159.80 and 9,477.20 is: 14,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.20 : 16,159.80 = 9,477.20 : x
  2. Step 2: Convert to fraction form
    10,773.20/16,159.80 = 9,477.20/x
  3. Step 3: Cross multiply
    10,773.20x = 16,159.80 × 9,477.20
  4. Step 4: Simplify right side
    10,773.20x = 153,149,656.56
  5. Step 5: Solve for x
    x = 153,149,656.56/10,773.20
  6. Step 6: Final answer
    x = 14,215.80

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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.