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Finding the Fourth Proportional to 13,009.40, 17,951.78 and 7,342.64

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Solution

The fourth proportional to 13,009.40, 17,951.78 and 7,342.64 is: 10,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.40 : 17,951.78 = 7,342.64 : x
  2. Step 2: Convert to fraction form
    13,009.40/17,951.78 = 7,342.64/x
  3. Step 3: Cross multiply
    13,009.40x = 17,951.78 × 7,342.64
  4. Step 4: Simplify right side
    13,009.40x = 131,813,457.90
  5. Step 5: Solve for x
    x = 131,813,457.90/13,009.40
  6. Step 6: Final answer
    x = 10,132.17

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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.