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Finding the Fourth Proportional to 13,469.86, 18,587.07 and 7,502.08

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Solution

The fourth proportional to 13,469.86, 18,587.07 and 7,502.08 is: 10,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.86 : 18,587.07 = 7,502.08 : x
  2. Step 2: Convert to fraction form
    13,469.86/18,587.07 = 7,502.08/x
  3. Step 3: Cross multiply
    13,469.86x = 18,587.07 × 7,502.08
  4. Step 4: Simplify right side
    13,469.86x = 139,441,751.33
  5. Step 5: Solve for x
    x = 139,441,751.33/13,469.86
  6. Step 6: Final answer
    x = 10,352.13

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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.