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Finding the Fourth Proportional to 12,683.11, 17,509.73 and 7,648.61

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Solution

The fourth proportional to 12,683.11, 17,509.73 and 7,648.61 is: 10,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.11 : 17,509.73 = 7,648.61 : x
  2. Step 2: Convert to fraction form
    12,683.11/17,509.73 = 7,648.61/x
  3. Step 3: Cross multiply
    12,683.11x = 17,509.73 × 7,648.61
  4. Step 4: Simplify right side
    12,683.11x = 133,925,008.43
  5. Step 5: Solve for x
    x = 133,925,008.43/12,683.11
  6. Step 6: Final answer
    x = 10,559.32

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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.