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Finding the Fourth Proportional to 10,203.49, 14,080.97 and 5,604.65

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Solution

The fourth proportional to 10,203.49, 14,080.97 and 5,604.65 is: 7,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.49 : 14,080.97 = 5,604.65 : x
  2. Step 2: Convert to fraction form
    10,203.49/14,080.97 = 5,604.65/x
  3. Step 3: Cross multiply
    10,203.49x = 14,080.97 × 5,604.65
  4. Step 4: Simplify right side
    10,203.49x = 78,918,908.51
  5. Step 5: Solve for x
    x = 78,918,908.51/10,203.49
  6. Step 6: Final answer
    x = 7,734.50

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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.