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Finding the Fourth Proportional to 16,464.60, 24,696.86 and 9,065.24

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Solution

The fourth proportional to 16,464.60, 24,696.86 and 9,065.24 is: 13,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.60 : 24,696.86 = 9,065.24 : x
  2. Step 2: Convert to fraction form
    16,464.60/24,696.86 = 9,065.24/x
  3. Step 3: Cross multiply
    16,464.60x = 24,696.86 × 9,065.24
  4. Step 4: Simplify right side
    16,464.60x = 223,882,963.15
  5. Step 5: Solve for x
    x = 223,882,963.15/16,464.60
  6. Step 6: Final answer
    x = 13,597.84

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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.