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Finding the Fourth Proportional to 14,482.26, 19,978.56 and 8,513.64

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Solution

The fourth proportional to 14,482.26, 19,978.56 and 8,513.64 is: 11,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482.26 : 19,978.56 = 8,513.64 : x
  2. Step 2: Convert to fraction form
    14,482.26/19,978.56 = 8,513.64/x
  3. Step 3: Cross multiply
    14,482.26x = 19,978.56 × 8,513.64
  4. Step 4: Simplify right side
    14,482.26x = 170,090,267.56
  5. Step 5: Solve for x
    x = 170,090,267.56/14,482.26
  6. Step 6: Final answer
    x = 11,744.73

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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.