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Finding the Fourth Proportional to 16,410.70, 24,587.70 and 7,627.60

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Solution

The fourth proportional to 16,410.70, 24,587.70 and 7,627.60 is: 11,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410.70 : 24,587.70 = 7,627.60 : x
  2. Step 2: Convert to fraction form
    16,410.70/24,587.70 = 7,627.60/x
  3. Step 3: Cross multiply
    16,410.70x = 24,587.70 × 7,627.60
  4. Step 4: Simplify right side
    16,410.70x = 187,545,140.52
  5. Step 5: Solve for x
    x = 187,545,140.52/16,410.70
  6. Step 6: Final answer
    x = 11,428.22

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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.