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Finding the Fourth Proportional to 12,465.75, 17,203.06 and 6,800.60

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Solution

The fourth proportional to 12,465.75, 17,203.06 and 6,800.60 is: 9,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.75 : 17,203.06 = 6,800.60 : x
  2. Step 2: Convert to fraction form
    12,465.75/17,203.06 = 6,800.60/x
  3. Step 3: Cross multiply
    12,465.75x = 17,203.06 × 6,800.60
  4. Step 4: Simplify right side
    12,465.75x = 116,991,026.82
  5. Step 5: Solve for x
    x = 116,991,026.82/12,465.75
  6. Step 6: Final answer
    x = 9,385.00

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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.