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Finding the Fourth Proportional to 9,477.60, 14,227.20 and 5,584.20

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Solution

The fourth proportional to 9,477.60, 14,227.20 and 5,584.20 is: 8,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.60 : 14,227.20 = 5,584.20 : x
  2. Step 2: Convert to fraction form
    9,477.60/14,227.20 = 5,584.20/x
  3. Step 3: Cross multiply
    9,477.60x = 14,227.20 × 5,584.20
  4. Step 4: Simplify right side
    9,477.60x = 79,447,530.24
  5. Step 5: Solve for x
    x = 79,447,530.24/9,477.60
  6. Step 6: Final answer
    x = 8,382.66

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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.