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Finding the Fourth Proportional to 12,464.14, 17,200.24 and 6,875.14

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Solution

The fourth proportional to 12,464.14, 17,200.24 and 6,875.14 is: 9,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.14 : 17,200.24 = 6,875.14 : x
  2. Step 2: Convert to fraction form
    12,464.14/17,200.24 = 6,875.14/x
  3. Step 3: Cross multiply
    12,464.14x = 17,200.24 × 6,875.14
  4. Step 4: Simplify right side
    12,464.14x = 118,254,058.03
  5. Step 5: Solve for x
    x = 118,254,058.03/12,464.14
  6. Step 6: Final answer
    x = 9,487.54

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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.