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Finding the Fourth Proportional to 12,328.16, 17,014.44 and 7,024.88

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Solution

The fourth proportional to 12,328.16, 17,014.44 and 7,024.88 is: 9,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.16 : 17,014.44 = 7,024.88 : x
  2. Step 2: Convert to fraction form
    12,328.16/17,014.44 = 7,024.88/x
  3. Step 3: Cross multiply
    12,328.16x = 17,014.44 × 7,024.88
  4. Step 4: Simplify right side
    12,328.16x = 119,524,399.27
  5. Step 5: Solve for x
    x = 119,524,399.27/12,328.16
  6. Step 6: Final answer
    x = 9,695.23

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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.