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Finding the Fourth Proportional to 9,653.56, 14,465.22 and 7,705.24

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Solution

The fourth proportional to 9,653.56, 14,465.22 and 7,705.24 is: 11,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.56 : 14,465.22 = 7,705.24 : x
  2. Step 2: Convert to fraction form
    9,653.56/14,465.22 = 7,705.24/x
  3. Step 3: Cross multiply
    9,653.56x = 14,465.22 × 7,705.24
  4. Step 4: Simplify right side
    9,653.56x = 111,457,991.75
  5. Step 5: Solve for x
    x = 111,457,991.75/9,653.56
  6. Step 6: Final answer
    x = 11,545.79

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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.