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Finding the Fourth Proportional to 14,471.64, 19,964.16 and 8,503.20

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Solution

The fourth proportional to 14,471.64, 19,964.16 and 8,503.20 is: 11,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.64 : 19,964.16 = 8,503.20 : x
  2. Step 2: Convert to fraction form
    14,471.64/19,964.16 = 8,503.20/x
  3. Step 3: Cross multiply
    14,471.64x = 19,964.16 × 8,503.20
  4. Step 4: Simplify right side
    14,471.64x = 169,759,245.31
  5. Step 5: Solve for x
    x = 169,759,245.31/14,471.64
  6. Step 6: Final answer
    x = 11,730.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.