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Finding the Fourth Proportional to 10,613.16, 14,652.72 and 6,837.66

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Solution

The fourth proportional to 10,613.16, 14,652.72 and 6,837.66 is: 9,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.16 : 14,652.72 = 6,837.66 : x
  2. Step 2: Convert to fraction form
    10,613.16/14,652.72 = 6,837.66/x
  3. Step 3: Cross multiply
    10,613.16x = 14,652.72 × 6,837.66
  4. Step 4: Simplify right side
    10,613.16x = 100,190,317.44
  5. Step 5: Solve for x
    x = 100,190,317.44/10,613.16
  6. Step 6: Final answer
    x = 9,440.20

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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.