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Finding the Fourth Proportional to 7,212.40, 9,953.06 and 3,900.40

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Solution

The fourth proportional to 7,212.40, 9,953.06 and 3,900.40 is: 5,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.40 : 9,953.06 = 3,900.40 : x
  2. Step 2: Convert to fraction form
    7,212.40/9,953.06 = 3,900.40/x
  3. Step 3: Cross multiply
    7,212.40x = 9,953.06 × 3,900.40
  4. Step 4: Simplify right side
    7,212.40x = 38,820,915.22
  5. Step 5: Solve for x
    x = 38,820,915.22/7,212.40
  6. Step 6: Final answer
    x = 5,382.52

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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.