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Finding the Fourth Proportional to 16,140.80, 24,196.80 and 6,276.80

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Solution

The fourth proportional to 16,140.80, 24,196.80 and 6,276.80 is: 9,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.80 : 24,196.80 = 6,276.80 : x
  2. Step 2: Convert to fraction form
    16,140.80/24,196.80 = 6,276.80/x
  3. Step 3: Cross multiply
    16,140.80x = 24,196.80 × 6,276.80
  4. Step 4: Simplify right side
    16,140.80x = 151,878,474.24
  5. Step 5: Solve for x
    x = 151,878,474.24/16,140.80
  6. Step 6: Final answer
    x = 9,409.60

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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.