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Finding the Fourth Proportional to 12,329.64, 17,014.32 and 7,024.23

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Solution

The fourth proportional to 12,329.64, 17,014.32 and 7,024.23 is: 9,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.64 : 17,014.32 = 7,024.23 : x
  2. Step 2: Convert to fraction form
    12,329.64/17,014.32 = 7,024.23/x
  3. Step 3: Cross multiply
    12,329.64x = 17,014.32 × 7,024.23
  4. Step 4: Simplify right side
    12,329.64x = 119,512,496.97
  5. Step 5: Solve for x
    x = 119,512,496.97/12,329.64
  6. Step 6: Final answer
    x = 9,693.11

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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.