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Finding the Fourth Proportional to 10,495.92, 14,482.26 and 7,977.36

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Solution

The fourth proportional to 10,495.92, 14,482.26 and 7,977.36 is: 11,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.92 : 14,482.26 = 7,977.36 : x
  2. Step 2: Convert to fraction form
    10,495.92/14,482.26 = 7,977.36/x
  3. Step 3: Cross multiply
    10,495.92x = 14,482.26 × 7,977.36
  4. Step 4: Simplify right side
    10,495.92x = 115,530,201.63
  5. Step 5: Solve for x
    x = 115,530,201.63/10,495.92
  6. Step 6: Final answer
    x = 11,007.15

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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.