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Finding the Fourth Proportional to 12,053.64, 18,049.02 and 9,700.80

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Solution

The fourth proportional to 12,053.64, 18,049.02 and 9,700.80 is: 14,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.64 : 18,049.02 = 9,700.80 : x
  2. Step 2: Convert to fraction form
    12,053.64/18,049.02 = 9,700.80/x
  3. Step 3: Cross multiply
    12,053.64x = 18,049.02 × 9,700.80
  4. Step 4: Simplify right side
    12,053.64x = 175,089,933.22
  5. Step 5: Solve for x
    x = 175,089,933.22/12,053.64
  6. Step 6: Final answer
    x = 14,525.90

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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.