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Finding the Fourth Proportional to 9,505.65, 14,226.08 and 9,505.65

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Solution

The fourth proportional to 9,505.65, 14,226.08 and 9,505.65 is: 14,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.65 : 14,226.08 = 9,505.65 : x
  2. Step 2: Convert to fraction form
    9,505.65/14,226.08 = 9,505.65/x
  3. Step 3: Cross multiply
    9,505.65x = 14,226.08 × 9,505.65
  4. Step 4: Simplify right side
    9,505.65x = 135,228,089.82
  5. Step 5: Solve for x
    x = 135,228,089.82/9,505.65
  6. Step 6: Final answer
    x = 14,226.08

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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.