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Finding the Fourth Proportional to 16,407.44, 24,609.60 and 6,544.08

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Solution

The fourth proportional to 16,407.44, 24,609.60 and 6,544.08 is: 9,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.44 : 24,609.60 = 6,544.08 : x
  2. Step 2: Convert to fraction form
    16,407.44/24,609.60 = 6,544.08/x
  3. Step 3: Cross multiply
    16,407.44x = 24,609.60 × 6,544.08
  4. Step 4: Simplify right side
    16,407.44x = 161,047,191.17
  5. Step 5: Solve for x
    x = 161,047,191.17/16,407.44
  6. Step 6: Final answer
    x = 9,815.50

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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.