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Finding the Fourth Proportional to 11,202.93, 15,459.93 and 6,167.16

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Solution

The fourth proportional to 11,202.93, 15,459.93 and 6,167.16 is: 8,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.93 : 15,459.93 = 6,167.16 : x
  2. Step 2: Convert to fraction form
    11,202.93/15,459.93 = 6,167.16/x
  3. Step 3: Cross multiply
    11,202.93x = 15,459.93 × 6,167.16
  4. Step 4: Simplify right side
    11,202.93x = 95,343,861.90
  5. Step 5: Solve for x
    x = 95,343,861.90/11,202.93
  6. Step 6: Final answer
    x = 8,510.62

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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.