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Finding the Fourth Proportional to 12,801.60, 19,164.60 and 9,529.20

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Solution

The fourth proportional to 12,801.60, 19,164.60 and 9,529.20 is: 14,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.60 : 19,164.60 = 9,529.20 : x
  2. Step 2: Convert to fraction form
    12,801.60/19,164.60 = 9,529.20/x
  3. Step 3: Cross multiply
    12,801.60x = 19,164.60 × 9,529.20
  4. Step 4: Simplify right side
    12,801.60x = 182,623,306.32
  5. Step 5: Solve for x
    x = 182,623,306.32/12,801.60
  6. Step 6: Final answer
    x = 14,265.66

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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.