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Finding the Fourth Proportional to 9,695.40, 13,380.90 and 6,551.40

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Solution

The fourth proportional to 9,695.40, 13,380.90 and 6,551.40 is: 9,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.40 : 13,380.90 = 6,551.40 : x
  2. Step 2: Convert to fraction form
    9,695.40/13,380.90 = 6,551.40/x
  3. Step 3: Cross multiply
    9,695.40x = 13,380.90 × 6,551.40
  4. Step 4: Simplify right side
    9,695.40x = 87,663,628.26
  5. Step 5: Solve for x
    x = 87,663,628.26/9,695.40
  6. Step 6: Final answer
    x = 9,041.78

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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.