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Finding the Fourth Proportional to 7,350.84, 10,143.84 and 4,206.96

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Solution

The fourth proportional to 7,350.84, 10,143.84 and 4,206.96 is: 5,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.84 : 10,143.84 = 4,206.96 : x
  2. Step 2: Convert to fraction form
    7,350.84/10,143.84 = 4,206.96/x
  3. Step 3: Cross multiply
    7,350.84x = 10,143.84 × 4,206.96
  4. Step 4: Simplify right side
    7,350.84x = 42,674,729.13
  5. Step 5: Solve for x
    x = 42,674,729.13/7,350.84
  6. Step 6: Final answer
    x = 5,805.42

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Half scale
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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.