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Finding the Fourth Proportional to 10,482.96, 14,429.12 and 8,694.48

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Solution

The fourth proportional to 10,482.96, 14,429.12 and 8,694.48 is: 11,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.96 : 14,429.12 = 8,694.48 : x
  2. Step 2: Convert to fraction form
    10,482.96/14,429.12 = 8,694.48/x
  3. Step 3: Cross multiply
    10,482.96x = 14,429.12 × 8,694.48
  4. Step 4: Simplify right side
    10,482.96x = 125,453,695.26
  5. Step 5: Solve for x
    x = 125,453,695.26/10,482.96
  6. Step 6: Final answer
    x = 11,967.39

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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.