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Finding the Fourth Proportional to 4,950.40, 7,411.02 and 3,657.64

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Solution

The fourth proportional to 4,950.40, 7,411.02 and 3,657.64 is: 5,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.40 : 7,411.02 = 3,657.64 : x
  2. Step 2: Convert to fraction form
    4,950.40/7,411.02 = 3,657.64/x
  3. Step 3: Cross multiply
    4,950.40x = 7,411.02 × 3,657.64
  4. Step 4: Simplify right side
    4,950.40x = 27,106,843.19
  5. Step 5: Solve for x
    x = 27,106,843.19/4,950.40
  6. Step 6: Final answer
    x = 5,475.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.