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Finding the Fourth Proportional to 12,617.63, 17,412.11 and 6,952.91

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Solution

The fourth proportional to 12,617.63, 17,412.11 and 6,952.91 is: 9,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.63 : 17,412.11 = 6,952.91 : x
  2. Step 2: Convert to fraction form
    12,617.63/17,412.11 = 6,952.91/x
  3. Step 3: Cross multiply
    12,617.63x = 17,412.11 × 6,952.91
  4. Step 4: Simplify right side
    12,617.63x = 121,064,767.40
  5. Step 5: Solve for x
    x = 121,064,767.40/12,617.63
  6. Step 6: Final answer
    x = 9,594.89

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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.