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Finding the Fourth Proportional to 11,349.70, 17,035.35 and 9,708.10

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Solution

The fourth proportional to 11,349.70, 17,035.35 and 9,708.10 is: 14,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.70 : 17,035.35 = 9,708.10 : x
  2. Step 2: Convert to fraction form
    11,349.70/17,035.35 = 9,708.10/x
  3. Step 3: Cross multiply
    11,349.70x = 17,035.35 × 9,708.10
  4. Step 4: Simplify right side
    11,349.70x = 165,380,881.34
  5. Step 5: Solve for x
    x = 165,380,881.34/11,349.70
  6. Step 6: Final answer
    x = 14,571.39

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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.