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Finding the Fourth Proportional to 9,695.80, 13,380.04 and 5,446.90

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Solution

The fourth proportional to 9,695.80, 13,380.04 and 5,446.90 is: 7,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.80 : 13,380.04 = 5,446.90 : x
  2. Step 2: Convert to fraction form
    9,695.80/13,380.04 = 5,446.90/x
  3. Step 3: Cross multiply
    9,695.80x = 13,380.04 × 5,446.90
  4. Step 4: Simplify right side
    9,695.80x = 72,879,657.51
  5. Step 5: Solve for x
    x = 72,879,657.51/9,695.80
  6. Step 6: Final answer
    x = 7,516.62

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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.