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Finding the Fourth Proportional to 14,002.75, 21,004.14 and 4,768.75

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Solution

The fourth proportional to 14,002.75, 21,004.14 and 4,768.75 is: 7,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.75 : 21,004.14 = 4,768.75 : x
  2. Step 2: Convert to fraction form
    14,002.75/21,004.14 = 4,768.75/x
  3. Step 3: Cross multiply
    14,002.75x = 21,004.14 × 4,768.75
  4. Step 4: Simplify right side
    14,002.75x = 100,163,492.63
  5. Step 5: Solve for x
    x = 100,163,492.63/14,002.75
  6. Step 6: Final answer
    x = 7,153.13

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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.