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Finding the Fourth Proportional to 11,654.04, 16,072 and 7,673.68

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Solution

The fourth proportional to 11,654.04, 16,072 and 7,673.68 is: 10,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.04 : 16,072 = 7,673.68 : x
  2. Step 2: Convert to fraction form
    11,654.04/16,072 = 7,673.68/x
  3. Step 3: Cross multiply
    11,654.04x = 16,072 × 7,673.68
  4. Step 4: Simplify right side
    11,654.04x = 123,331,384.96
  5. Step 5: Solve for x
    x = 123,331,384.96/11,654.04
  6. Step 6: Final answer
    x = 10,582.72

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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.