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Finding the Fourth Proportional to 11,609.42, 16,021.06 and 6,573.65

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Solution

The fourth proportional to 11,609.42, 16,021.06 and 6,573.65 is: 9,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.42 : 16,021.06 = 6,573.65 : x
  2. Step 2: Convert to fraction form
    11,609.42/16,021.06 = 6,573.65/x
  3. Step 3: Cross multiply
    11,609.42x = 16,021.06 × 6,573.65
  4. Step 4: Simplify right side
    11,609.42x = 105,316,744.53
  5. Step 5: Solve for x
    x = 105,316,744.53/11,609.42
  6. Step 6: Final answer
    x = 9,071.67

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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.