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Finding the Fourth Proportional to 12,465.59, 17,202.47 and 6,800.22

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Solution

The fourth proportional to 12,465.59, 17,202.47 and 6,800.22 is: 9,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.59 : 17,202.47 = 6,800.22 : x
  2. Step 2: Convert to fraction form
    12,465.59/17,202.47 = 6,800.22/x
  3. Step 3: Cross multiply
    12,465.59x = 17,202.47 × 6,800.22
  4. Step 4: Simplify right side
    12,465.59x = 116,980,546.54
  5. Step 5: Solve for x
    x = 116,980,546.54/12,465.59
  6. Step 6: Final answer
    x = 9,384.28

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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.