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Finding the Fourth Proportional to 13,642.43, 18,827.64 and 7,673.74

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Solution

The fourth proportional to 13,642.43, 18,827.64 and 7,673.74 is: 10,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.43 : 18,827.64 = 7,673.74 : x
  2. Step 2: Convert to fraction form
    13,642.43/18,827.64 = 7,673.74/x
  3. Step 3: Cross multiply
    13,642.43x = 18,827.64 × 7,673.74
  4. Step 4: Simplify right side
    13,642.43x = 144,478,367.10
  5. Step 5: Solve for x
    x = 144,478,367.10/13,642.43
  6. Step 6: Final answer
    x = 10,590.37

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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.