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Finding the Fourth Proportional to 14,751, 20,373.66 and 9,774.36

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Solution

The fourth proportional to 14,751, 20,373.66 and 9,774.36 is: 13,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751 : 20,373.66 = 9,774.36 : x
  2. Step 2: Convert to fraction form
    14,751/20,373.66 = 9,774.36/x
  3. Step 3: Cross multiply
    14,751x = 20,373.66 × 9,774.36
  4. Step 4: Simplify right side
    14,751x = 199,139,487.36
  5. Step 5: Solve for x
    x = 199,139,487.36/14,751
  6. Step 6: Final answer
    x = 13,500.07

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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.