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Finding the Fourth Proportional to 7,213.53, 9,952.70 and 4,378.53

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Solution

The fourth proportional to 7,213.53, 9,952.70 and 4,378.53 is: 6,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.53 : 9,952.70 = 4,378.53 : x
  2. Step 2: Convert to fraction form
    7,213.53/9,952.70 = 4,378.53/x
  3. Step 3: Cross multiply
    7,213.53x = 9,952.70 × 4,378.53
  4. Step 4: Simplify right side
    7,213.53x = 43,578,173.64
  5. Step 5: Solve for x
    x = 43,578,173.64/7,213.53
  6. Step 6: Final answer
    x = 6,041.17

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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.