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Finding the Fourth Proportional to 9,698.29, 13,369.53 and 7,709.65

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Solution

The fourth proportional to 9,698.29, 13,369.53 and 7,709.65 is: 10,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.29 : 13,369.53 = 7,709.65 : x
  2. Step 2: Convert to fraction form
    9,698.29/13,369.53 = 7,709.65/x
  3. Step 3: Cross multiply
    9,698.29x = 13,369.53 × 7,709.65
  4. Step 4: Simplify right side
    9,698.29x = 103,074,396.96
  5. Step 5: Solve for x
    x = 103,074,396.96/9,698.29
  6. Step 6: Final answer
    x = 10,628.10

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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.