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Finding the Fourth Proportional to 16,091.40, 24,145.62 and 7,883.40

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Solution

The fourth proportional to 16,091.40, 24,145.62 and 7,883.40 is: 11,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.40 : 24,145.62 = 7,883.40 : x
  2. Step 2: Convert to fraction form
    16,091.40/24,145.62 = 7,883.40/x
  3. Step 3: Cross multiply
    16,091.40x = 24,145.62 × 7,883.40
  4. Step 4: Simplify right side
    16,091.40x = 190,349,580.71
  5. Step 5: Solve for x
    x = 190,349,580.71/16,091.40
  6. Step 6: Final answer
    x = 11,829.27

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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.