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Finding the Fourth Proportional to 11,671.52, 17,504.16 and 7,973.12

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Solution

The fourth proportional to 11,671.52, 17,504.16 and 7,973.12 is: 11,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.52 : 17,504.16 = 7,973.12 : x
  2. Step 2: Convert to fraction form
    11,671.52/17,504.16 = 7,973.12/x
  3. Step 3: Cross multiply
    11,671.52x = 17,504.16 × 7,973.12
  4. Step 4: Simplify right side
    11,671.52x = 139,562,768.18
  5. Step 5: Solve for x
    x = 139,562,768.18/11,671.52
  6. Step 6: Final answer
    x = 11,957.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.