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Finding the Fourth Proportional to 15,809.16, 21,814.77 and 8,735.16

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Solution

The fourth proportional to 15,809.16, 21,814.77 and 8,735.16 is: 12,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.16 : 21,814.77 = 8,735.16 : x
  2. Step 2: Convert to fraction form
    15,809.16/21,814.77 = 8,735.16/x
  3. Step 3: Cross multiply
    15,809.16x = 21,814.77 × 8,735.16
  4. Step 4: Simplify right side
    15,809.16x = 190,555,506.31
  5. Step 5: Solve for x
    x = 190,555,506.31/15,809.16
  6. Step 6: Final answer
    x = 12,053.49

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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.