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Finding the Fourth Proportional to 11,613.16, 16,019.94 and 8,070.22

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Solution

The fourth proportional to 11,613.16, 16,019.94 and 8,070.22 is: 11,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.16 : 16,019.94 = 8,070.22 : x
  2. Step 2: Convert to fraction form
    11,613.16/16,019.94 = 8,070.22/x
  3. Step 3: Cross multiply
    11,613.16x = 16,019.94 × 8,070.22
  4. Step 4: Simplify right side
    11,613.16x = 129,284,440.19
  5. Step 5: Solve for x
    x = 129,284,440.19/11,613.16
  6. Step 6: Final answer
    x = 11,132.58

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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.