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Finding the Fourth Proportional to 14,007, 19,296.78 and 9,750.72

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Solution

The fourth proportional to 14,007, 19,296.78 and 9,750.72 is: 13,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007 : 19,296.78 = 9,750.72 : x
  2. Step 2: Convert to fraction form
    14,007/19,296.78 = 9,750.72/x
  3. Step 3: Cross multiply
    14,007x = 19,296.78 × 9,750.72
  4. Step 4: Simplify right side
    14,007x = 188,157,498.68
  5. Step 5: Solve for x
    x = 188,157,498.68/14,007
  6. Step 6: Final answer
    x = 13,433.10

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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.