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Finding the Fourth Proportional to 9,921.60, 14,863.68 and 8,288.64

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Solution

The fourth proportional to 9,921.60, 14,863.68 and 8,288.64 is: 12,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.60 : 14,863.68 = 8,288.64 : x
  2. Step 2: Convert to fraction form
    9,921.60/14,863.68 = 8,288.64/x
  3. Step 3: Cross multiply
    9,921.60x = 14,863.68 × 8,288.64
  4. Step 4: Simplify right side
    9,921.60x = 123,199,692.60
  5. Step 5: Solve for x
    x = 123,199,692.60/9,921.60
  6. Step 6: Final answer
    x = 12,417.32

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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.