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Finding the Fourth Proportional to 10,051.20, 15,076.80 and 9,624.60

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Solution

The fourth proportional to 10,051.20, 15,076.80 and 9,624.60 is: 14,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.20 : 15,076.80 = 9,624.60 : x
  2. Step 2: Convert to fraction form
    10,051.20/15,076.80 = 9,624.60/x
  3. Step 3: Cross multiply
    10,051.20x = 15,076.80 × 9,624.60
  4. Step 4: Simplify right side
    10,051.20x = 145,108,169.28
  5. Step 5: Solve for x
    x = 145,108,169.28/10,051.20
  6. Step 6: Final answer
    x = 14,436.90

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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.