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Finding the Fourth Proportional to 12,057.60, 16,657.92 and 10,828.80

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Solution

The fourth proportional to 12,057.60, 16,657.92 and 10,828.80 is: 14,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.60 : 16,657.92 = 10,828.80 : x
  2. Step 2: Convert to fraction form
    12,057.60/16,657.92 = 10,828.80/x
  3. Step 3: Cross multiply
    12,057.60x = 16,657.92 × 10,828.80
  4. Step 4: Simplify right side
    12,057.60x = 180,385,284.10
  5. Step 5: Solve for x
    x = 180,385,284.10/12,057.60
  6. Step 6: Final answer
    x = 14,960.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.