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Finding the Fourth Proportional to 14,512.53, 21,777 and 6,191.76

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Solution

The fourth proportional to 14,512.53, 21,777 and 6,191.76 is: 9,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.53 : 21,777 = 6,191.76 : x
  2. Step 2: Convert to fraction form
    14,512.53/21,777 = 6,191.76/x
  3. Step 3: Cross multiply
    14,512.53x = 21,777 × 6,191.76
  4. Step 4: Simplify right side
    14,512.53x = 134,837,957.52
  5. Step 5: Solve for x
    x = 134,837,957.52/14,512.53
  6. Step 6: Final answer
    x = 9,291.14

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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.