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Finding the Fourth Proportional to 10,657.96, 14,629.73 and 9,452.68

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Solution

The fourth proportional to 10,657.96, 14,629.73 and 9,452.68 is: 12,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.96 : 14,629.73 = 9,452.68 : x
  2. Step 2: Convert to fraction form
    10,657.96/14,629.73 = 9,452.68/x
  3. Step 3: Cross multiply
    10,657.96x = 14,629.73 × 9,452.68
  4. Step 4: Simplify right side
    10,657.96x = 138,290,156.18
  5. Step 5: Solve for x
    x = 138,290,156.18/10,657.96
  6. Step 6: Final answer
    x = 12,975.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.