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Finding the Fourth Proportional to 10,975.29, 16,467.03 and 6,595.89

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Solution

The fourth proportional to 10,975.29, 16,467.03 and 6,595.89 is: 9,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.29 : 16,467.03 = 6,595.89 : x
  2. Step 2: Convert to fraction form
    10,975.29/16,467.03 = 6,595.89/x
  3. Step 3: Cross multiply
    10,975.29x = 16,467.03 × 6,595.89
  4. Step 4: Simplify right side
    10,975.29x = 108,614,718.51
  5. Step 5: Solve for x
    x = 108,614,718.51/10,975.29
  6. Step 6: Final answer
    x = 9,896.30

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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.