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Finding the Fourth Proportional to 7,206.16, 9,944.51 and 3,894.16

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Solution

The fourth proportional to 7,206.16, 9,944.51 and 3,894.16 is: 5,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.16 : 9,944.51 = 3,894.16 : x
  2. Step 2: Convert to fraction form
    7,206.16/9,944.51 = 3,894.16/x
  3. Step 3: Cross multiply
    7,206.16x = 9,944.51 × 3,894.16
  4. Step 4: Simplify right side
    7,206.16x = 38,725,493.59
  5. Step 5: Solve for x
    x = 38,725,493.59/7,206.16
  6. Step 6: Final answer
    x = 5,373.94

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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.