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Finding the Fourth Proportional to 9,975.22, 13,760.58 and 7,613.26

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Solution

The fourth proportional to 9,975.22, 13,760.58 and 7,613.26 is: 10,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.22 : 13,760.58 = 7,613.26 : x
  2. Step 2: Convert to fraction form
    9,975.22/13,760.58 = 7,613.26/x
  3. Step 3: Cross multiply
    9,975.22x = 13,760.58 × 7,613.26
  4. Step 4: Simplify right side
    9,975.22x = 104,762,873.29
  5. Step 5: Solve for x
    x = 104,762,873.29/9,975.22
  6. Step 6: Final answer
    x = 10,502.31

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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.