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Finding the Fourth Proportional to 16,574, 22,873.56 and 9,123.44

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Solution

The fourth proportional to 16,574, 22,873.56 and 9,123.44 is: 12,591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574 : 22,873.56 = 9,123.44 : x
  2. Step 2: Convert to fraction form
    16,574/22,873.56 = 9,123.44/x
  3. Step 3: Cross multiply
    16,574x = 22,873.56 × 9,123.44
  4. Step 4: Simplify right side
    16,574x = 208,685,552.25
  5. Step 5: Solve for x
    x = 208,685,552.25/16,574
  6. Step 6: Final answer
    x = 12,591.14

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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.