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Finding the Fourth Proportional to 11,607.48, 16,006.56 and 9,934.44

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Solution

The fourth proportional to 11,607.48, 16,006.56 and 9,934.44 is: 13,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.48 : 16,006.56 = 9,934.44 : x
  2. Step 2: Convert to fraction form
    11,607.48/16,006.56 = 9,934.44/x
  3. Step 3: Cross multiply
    11,607.48x = 16,006.56 × 9,934.44
  4. Step 4: Simplify right side
    11,607.48x = 159,016,209.93
  5. Step 5: Solve for x
    x = 159,016,209.93/11,607.48
  6. Step 6: Final answer
    x = 13,699.46

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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.