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Finding the Fourth Proportional to 7,206.20, 9,952.74 and 4,844.24

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Solution

The fourth proportional to 7,206.20, 9,952.74 and 4,844.24 is: 6,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.20 : 9,952.74 = 4,844.24 : x
  2. Step 2: Convert to fraction form
    7,206.20/9,952.74 = 4,844.24/x
  3. Step 3: Cross multiply
    7,206.20x = 9,952.74 × 4,844.24
  4. Step 4: Simplify right side
    7,206.20x = 48,213,411.45
  5. Step 5: Solve for x
    x = 48,213,411.45/7,206.20
  6. Step 6: Final answer
    x = 6,690.55

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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.