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Finding the Fourth Proportional to 9,792.81, 14,668.97 and 6,507.45

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Solution

The fourth proportional to 9,792.81, 14,668.97 and 6,507.45 is: 9,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.81 : 14,668.97 = 6,507.45 : x
  2. Step 2: Convert to fraction form
    9,792.81/14,668.97 = 6,507.45/x
  3. Step 3: Cross multiply
    9,792.81x = 14,668.97 × 6,507.45
  4. Step 4: Simplify right side
    9,792.81x = 95,457,556.29
  5. Step 5: Solve for x
    x = 95,457,556.29/9,792.81
  6. Step 6: Final answer
    x = 9,747.72

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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.