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Finding the Fourth Proportional to 12,417.09, 17,135.87 and 6,828.09

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Solution

The fourth proportional to 12,417.09, 17,135.87 and 6,828.09 is: 9,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.09 : 17,135.87 = 6,828.09 : x
  2. Step 2: Convert to fraction form
    12,417.09/17,135.87 = 6,828.09/x
  3. Step 3: Cross multiply
    12,417.09x = 17,135.87 × 6,828.09
  4. Step 4: Simplify right side
    12,417.09x = 117,005,228.45
  5. Step 5: Solve for x
    x = 117,005,228.45/12,417.09
  6. Step 6: Final answer
    x = 9,422.92

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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.