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Finding the Fourth Proportional to 12,464, 17,200.32 and 6,875.36

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Solution

The fourth proportional to 12,464, 17,200.32 and 6,875.36 is: 9,488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464 : 17,200.32 = 6,875.36 : x
  2. Step 2: Convert to fraction form
    12,464/17,200.32 = 6,875.36/x
  3. Step 3: Cross multiply
    12,464x = 17,200.32 × 6,875.36
  4. Step 4: Simplify right side
    12,464x = 118,258,392.12
  5. Step 5: Solve for x
    x = 118,258,392.12/12,464
  6. Step 6: Final answer
    x = 9,488.00

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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.