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Finding the Fourth Proportional to 11,633.40, 17,430.90 and 9,905.40

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Solution

The fourth proportional to 11,633.40, 17,430.90 and 9,905.40 is: 14,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.40 : 17,430.90 = 9,905.40 : x
  2. Step 2: Convert to fraction form
    11,633.40/17,430.90 = 9,905.40/x
  3. Step 3: Cross multiply
    11,633.40x = 17,430.90 × 9,905.40
  4. Step 4: Simplify right side
    11,633.40x = 172,660,036.86
  5. Step 5: Solve for x
    x = 172,660,036.86/11,633.40
  6. Step 6: Final answer
    x = 14,841.75

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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.