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Finding the Fourth Proportional to 14,931.44, 20,607 and 9,344.24

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Solution

The fourth proportional to 14,931.44, 20,607 and 9,344.24 is: 12,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,931.44 : 20,607 = 9,344.24 : x
  2. Step 2: Convert to fraction form
    14,931.44/20,607 = 9,344.24/x
  3. Step 3: Cross multiply
    14,931.44x = 20,607 × 9,344.24
  4. Step 4: Simplify right side
    14,931.44x = 192,556,753.68
  5. Step 5: Solve for x
    x = 192,556,753.68/14,931.44
  6. Step 6: Final answer
    x = 12,896.06

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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.