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Finding the Fourth Proportional to 9,567.90, 14,374.41 and 5,629.26

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Solution

The fourth proportional to 9,567.90, 14,374.41 and 5,629.26 is: 8,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.90 : 14,374.41 = 5,629.26 : x
  2. Step 2: Convert to fraction form
    9,567.90/14,374.41 = 5,629.26/x
  3. Step 3: Cross multiply
    9,567.90x = 14,374.41 × 5,629.26
  4. Step 4: Simplify right side
    9,567.90x = 80,917,291.24
  5. Step 5: Solve for x
    x = 80,917,291.24/9,567.90
  6. Step 6: Final answer
    x = 8,457.16

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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.