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Finding the Fourth Proportional to 16,607, 22,917.66 and 9,533.88

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Solution

The fourth proportional to 16,607, 22,917.66 and 9,533.88 is: 13,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,607 : 22,917.66 = 9,533.88 : x
  2. Step 2: Convert to fraction form
    16,607/22,917.66 = 9,533.88/x
  3. Step 3: Cross multiply
    16,607x = 22,917.66 × 9,533.88
  4. Step 4: Simplify right side
    16,607x = 218,494,220.32
  5. Step 5: Solve for x
    x = 218,494,220.32/16,607
  6. Step 6: Final answer
    x = 13,156.75

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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.