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Finding the Fourth Proportional to 12,073.75, 16,661.84 and 7,041.46

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Solution

The fourth proportional to 12,073.75, 16,661.84 and 7,041.46 is: 9,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.75 : 16,661.84 = 7,041.46 : x
  2. Step 2: Convert to fraction form
    12,073.75/16,661.84 = 7,041.46/x
  3. Step 3: Cross multiply
    12,073.75x = 16,661.84 × 7,041.46
  4. Step 4: Simplify right side
    12,073.75x = 117,323,644.68
  5. Step 5: Solve for x
    x = 117,323,644.68/12,073.75
  6. Step 6: Final answer
    x = 9,717.25

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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.