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Finding the Fourth Proportional to 12,494.64, 17,242.59 and 6,905.64

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Solution

The fourth proportional to 12,494.64, 17,242.59 and 6,905.64 is: 9,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.64 : 17,242.59 = 6,905.64 : x
  2. Step 2: Convert to fraction form
    12,494.64/17,242.59 = 6,905.64/x
  3. Step 3: Cross multiply
    12,494.64x = 17,242.59 × 6,905.64
  4. Step 4: Simplify right side
    12,494.64x = 119,071,119.21
  5. Step 5: Solve for x
    x = 119,071,119.21/12,494.64
  6. Step 6: Final answer
    x = 9,529.78

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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.