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Finding the Fourth Proportional to 10,609.61, 14,627.73 and 6,629.27

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Solution

The fourth proportional to 10,609.61, 14,627.73 and 6,629.27 is: 9,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.61 : 14,627.73 = 6,629.27 : x
  2. Step 2: Convert to fraction form
    10,609.61/14,627.73 = 6,629.27/x
  3. Step 3: Cross multiply
    10,609.61x = 14,627.73 × 6,629.27
  4. Step 4: Simplify right side
    10,609.61x = 96,971,098.52
  5. Step 5: Solve for x
    x = 96,971,098.52/10,609.61
  6. Step 6: Final answer
    x = 9,139.93

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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.