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Finding the Fourth Proportional to 12,617.66, 17,412.54 and 7,028.66

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Solution

The fourth proportional to 12,617.66, 17,412.54 and 7,028.66 is: 9,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.66 : 17,412.54 = 7,028.66 : x
  2. Step 2: Convert to fraction form
    12,617.66/17,412.54 = 7,028.66/x
  3. Step 3: Cross multiply
    12,617.66x = 17,412.54 × 7,028.66
  4. Step 4: Simplify right side
    12,617.66x = 122,386,823.40
  5. Step 5: Solve for x
    x = 122,386,823.40/12,617.66
  6. Step 6: Final answer
    x = 9,699.65

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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.