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Finding the Fourth Proportional to 16,617, 22,931.46 and 9,165.48

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Solution

The fourth proportional to 16,617, 22,931.46 and 9,165.48 is: 12,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617 : 22,931.46 = 9,165.48 : x
  2. Step 2: Convert to fraction form
    16,617/22,931.46 = 9,165.48/x
  3. Step 3: Cross multiply
    16,617x = 22,931.46 × 9,165.48
  4. Step 4: Simplify right side
    16,617x = 210,177,838.00
  5. Step 5: Solve for x
    x = 210,177,838.00/16,617
  6. Step 6: Final answer
    x = 12,648.36

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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.