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Finding the Fourth Proportional to 9,674.60, 14,511.90 and 4,477.64

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Solution

The fourth proportional to 9,674.60, 14,511.90 and 4,477.64 is: 6,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.60 : 14,511.90 = 4,477.64 : x
  2. Step 2: Convert to fraction form
    9,674.60/14,511.90 = 4,477.64/x
  3. Step 3: Cross multiply
    9,674.60x = 14,511.90 × 4,477.64
  4. Step 4: Simplify right side
    9,674.60x = 64,979,063.92
  5. Step 5: Solve for x
    x = 64,979,063.92/9,674.60
  6. Step 6: Final answer
    x = 6,716.46

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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.