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Finding the Fourth Proportional to 9,473.76, 14,206.32 and 5,579.28

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Solution

The fourth proportional to 9,473.76, 14,206.32 and 5,579.28 is: 8,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.76 : 14,206.32 = 5,579.28 : x
  2. Step 2: Convert to fraction form
    9,473.76/14,206.32 = 5,579.28/x
  3. Step 3: Cross multiply
    9,473.76x = 14,206.32 × 5,579.28
  4. Step 4: Simplify right side
    9,473.76x = 79,261,037.05
  5. Step 5: Solve for x
    x = 79,261,037.05/9,473.76
  6. Step 6: Final answer
    x = 8,366.38

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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.