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Finding the Fourth Proportional to 17,738.40, 26,607.60 and 7,208.40

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Solution

The fourth proportional to 17,738.40, 26,607.60 and 7,208.40 is: 10,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.40 : 26,607.60 = 7,208.40 : x
  2. Step 2: Convert to fraction form
    17,738.40/26,607.60 = 7,208.40/x
  3. Step 3: Cross multiply
    17,738.40x = 26,607.60 × 7,208.40
  4. Step 4: Simplify right side
    17,738.40x = 191,798,223.84
  5. Step 5: Solve for x
    x = 191,798,223.84/17,738.40
  6. Step 6: Final answer
    x = 10,812.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.