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Finding the Fourth Proportional to 14,656.20, 20,225.53 and 7,942.01

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Solution

The fourth proportional to 14,656.20, 20,225.53 and 7,942.01 is: 10,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.20 : 20,225.53 = 7,942.01 : x
  2. Step 2: Convert to fraction form
    14,656.20/20,225.53 = 7,942.01/x
  3. Step 3: Cross multiply
    14,656.20x = 20,225.53 × 7,942.01
  4. Step 4: Simplify right side
    14,656.20x = 160,631,339.41
  5. Step 5: Solve for x
    x = 160,631,339.41/14,656.20
  6. Step 6: Final answer
    x = 10,959.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.