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Finding the Fourth Proportional to 12,753, 17,595.63 and 7,646.49

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Solution

The fourth proportional to 12,753, 17,595.63 and 7,646.49 is: 10,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753 : 17,595.63 = 7,646.49 : x
  2. Step 2: Convert to fraction form
    12,753/17,595.63 = 7,646.49/x
  3. Step 3: Cross multiply
    12,753x = 17,595.63 × 7,646.49
  4. Step 4: Simplify right side
    12,753x = 134,544,808.84
  5. Step 5: Solve for x
    x = 134,544,808.84/12,753
  6. Step 6: Final answer
    x = 10,550.05

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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.