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Finding the Fourth Proportional to 11,343.24, 15,647.04 and 7,806.24

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Solution

The fourth proportional to 11,343.24, 15,647.04 and 7,806.24 is: 10,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.24 : 15,647.04 = 7,806.24 : x
  2. Step 2: Convert to fraction form
    11,343.24/15,647.04 = 7,806.24/x
  3. Step 3: Cross multiply
    11,343.24x = 15,647.04 × 7,806.24
  4. Step 4: Simplify right side
    11,343.24x = 122,144,549.53
  5. Step 5: Solve for x
    x = 122,144,549.53/11,343.24
  6. Step 6: Final answer
    x = 10,768.05

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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.