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Finding the Fourth Proportional to 12,663.24, 17,477.28 and 7,074.24

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Solution

The fourth proportional to 12,663.24, 17,477.28 and 7,074.24 is: 9,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.24 : 17,477.28 = 7,074.24 : x
  2. Step 2: Convert to fraction form
    12,663.24/17,477.28 = 7,074.24/x
  3. Step 3: Cross multiply
    12,663.24x = 17,477.28 × 7,074.24
  4. Step 4: Simplify right side
    12,663.24x = 123,638,473.27
  5. Step 5: Solve for x
    x = 123,638,473.27/12,663.24
  6. Step 6: Final answer
    x = 9,763.57

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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.