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Finding the Fourth Proportional to 4,975.79, 7,464.96 and 1,465.91

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Solution

The fourth proportional to 4,975.79, 7,464.96 and 1,465.91 is: 2,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.79 : 7,464.96 = 1,465.91 : x
  2. Step 2: Convert to fraction form
    4,975.79/7,464.96 = 1,465.91/x
  3. Step 3: Cross multiply
    4,975.79x = 7,464.96 × 1,465.91
  4. Step 4: Simplify right side
    4,975.79x = 10,942,959.51
  5. Step 5: Solve for x
    x = 10,942,959.51/4,975.79
  6. Step 6: Final answer
    x = 2,199.24

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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.