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Finding the Fourth Proportional to 13,970.01, 20,941.02 and 7,732.80

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Solution

The fourth proportional to 13,970.01, 20,941.02 and 7,732.80 is: 11,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.01 : 20,941.02 = 7,732.80 : x
  2. Step 2: Convert to fraction form
    13,970.01/20,941.02 = 7,732.80/x
  3. Step 3: Cross multiply
    13,970.01x = 20,941.02 × 7,732.80
  4. Step 4: Simplify right side
    13,970.01x = 161,932,719.46
  5. Step 5: Solve for x
    x = 161,932,719.46/13,970.01
  6. Step 6: Final answer
    x = 11,591.45

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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.